# SmartPhysics

Examples from Smartphysics that as been solved step by step, easy to follow.
4.3 (11 ratings) 2,724 students enrolled
Instructed by Walid Hamarneh
Free
• Lectures 13
• Length 2 hours
• Skill Level Intermediate Level
• Languages English
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Published 4/2015 English

### Course Description

A lot of professors give us practice exams or homework and sometimes they never solves them! I know the struggle of solving them and trying to understand the concept behind it. So I made this course to give other fellow students more problems to test themselves plus having the answer and how I solved it!

The main focus of this course is to help you understand Physics 2 by solving problems step by step.

Topics we will be solving some problems from are Electricity, Magnetism, DC circuit, AC circuit and Light and optics. Some example problems: Two Loop RL Circuit, Point Charges in two Dimensions and Power in AC circuit.

I had all my videos on YouTube channel but I decided to move them here because I would have a better communication with the student and can post the full question to benefit more people than just the students who use SmartPhysics Homework base website.

### What are the requirements?

• Pencil and paper.
• smartphysics access(Not required)

### What am I going to get from this course?

• Students will have hard questions getting solved in an easy way

### Who is the target audience?

• People who took physics one
• Engineering Physics
• Calculas basic course

### What you get with this course?

Not for you? No problem.
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# Curriculum

Section 1: Magnatisim
04:19

A proton (mass= 1.67×10-27 kg, charge= 1.6×10-19 C) travelling with speed 1×106 m/s enters a region of space containing a uniform magnetic field of 1.2 T. What is the time t required for the proton to re-emerge into the field-free region? Answer is t = 27.322*10^-9 s

09:44

A charged particle of mass m = 4.9X10-8 kg, moving with constant velocity in the y-direction enters a region containing a constant magnetic field B = 2.4T aligned with the positive z-axis as shown. The particle enters the region at (x,y) = (0.55 m, 0) and leaves the region at (x,y) = 0, 0.55 m a time t = 704 μs after it entered the region.
1) With what speed v did the particle enter the region containing the magnetic field?
2) What is Fx, the x-component of the force on the particle at a time t1 = 234.7 μs after it entered the region containing the magnetic field.
3) What is Fy, the y-component of the force on the particle at a time t1 = 234.7 μs after it entered the region containing the magnetic field.
4) What is q, the charge of the particle? Be sure to include the correct sign.
5) If the velocity of the incident charged particle were doubled, how would B have to change (keeping all other parameters constant) to keep the trajectory of the particle the same?

07:55

A proton (q = 1.6 X 10-19 C, m = 1.67 X 10-27 kg) moving with constant velocity enters a region containing a constant magnetic field that is directed along the z-axis at (x,y) = (0,0) as shown. The magnetic field extends for a distance D = 0.59 m in the x-direction. The proton leaves the field having a velocity vector (vx, vy) = (5.4 X 105 m/s, 2.2 X 105 m/s).
1) What is v, the magnitude of the velocity of the proton as it entered the region containing the magnetic field?
2) What is R, the radius of curvature of the motion of the proton while it is in the region containing the magnetic field?
3) What is h, the y co-ordinate of the proton as it leaves the region conating the magnetic field?
4) What is Bz, the z-component of the magnetic field? Note that Bz is a signed number.

05:10

A wire formed in the shape of an equilateral triangle of side d = 8 cm, carries current i = 0.25 A. This loop is located in a region of space that contains a constant magnetic field of magnitude B = 1.3 T, aligned with the negative z-axis as shown in the diagram below.

What is WI to II, the work you would have to do to rotate the coil 180° from Position I to Position II? (Note, the coil is rotated out of the plane of the page, not simply spun in the plane) WI to II =
-1.8005*10^-3 J

06:44

A uniform magnetic field B = 1.8 T points in the +x direction. A square loop with sides of length d = 20 cm, N=12 turns, and current I = 0.85 A/turn pivots without friction around a pin about the z-axis as shown in the figure below.(The z-axis points out of the page in the left hand panel.)

A mass M is hung from one side of the loop (C or D), and the loop is in equilibrium when it makes an angle of 30° with respect to the x-z plane. Determine the size of the mass. Enter a positive number if it is hung from C and a negative number if it is hung from D. M =

07:40

A rectangular loop of wire with sides H = 24 cm and W = 64 cm is located in a region containing a constant magnetic field B = 0.6 T that is aligned with the positive y-axis as shown. The loop carries current I = 302 mA. The plane of the loop is inclined at an angle θ = 37o with respect to the x-axis.

1) What is μx, the x-component of the magnetic moment vector of the loop?
-27.91*10^-3 A-m2
2) What is μy, the y-component of the magnetic moment vector of the loop?
37.04*10^-3 A-m2
3) What is τz, the z-component of the torque exerted on the loop?
-16.75*10^-3 N-m
4) What is Fbc, the magnitude of the force exerted on segment bc of the loop?.
.0434 N
5) What is the direction of the force that is exerted on the segment bc of the loop?
along positive x-direction

11:02

A wire formed in the shape of a right triangle with base Lab = 24 cm and height Lbc = 64 cm carries current I = 713 mA as shown in Position 1. The wire is located in a region containing a constant magnetic field B = 1.1 T aligned with the positive z-axis.
1) What is Fac,x, the x-component of the force on the segment of the wire that connects points a and c in Position 1?
2) What is Fac,y, the y-component of the force on the segment of the wire that connects points a and c in Position 1?
3) The wire is now rotated 180o about the y-axis to Position 2, as shown. What is ΔU12, the change in potential energy of the wire? Note that ΔU12 is a signed number. ΔU12 is positive if the potential energy in Position 2 is higher than the potential energy in Position 1.
The wire is now rotated back 90o about the y-axis towards position 1. If the wire is released from this position, how would it move?
It would rotate towards Position 1
It would rotate towards Position 2
It would remain stationary
5)The wire is now returned to Position 1 and then rotated 180o about the x-axis to Position 3, as shown. What is ΔU13, the change in potential energy of the wire? If the potential energy increases in going from Position 1 to Position 3, the change in potential energy is positive.

Answer is << .1204 J >>

14:55

Three infinite straight wires are fixed in place and aligned parallel to the z-axis as shown. The wire at (x,y) = (-19 cm, 0) carries current I1 = 3.7 A in the negative z-direction. The wire at (x,y) = (19 cm, 0) carries current I2 = 0.7 A in the positive z-direction. The wire at (x,y) = (0, 32.9 cm) carries current I3 = 5.4 A in the positive z-direction.
1) What is Bx(0,0), the x-component of the magnetic field produced by these three wires at the origin? 3.282*10^-6
2) What is By(0,0), the y-component of the magnetic field produced by these three wires at the origin? -4.631*10^-6
3) What is Fx(1), the x-component of the force exerted on a one meter length of the wire carrying current I1? -66.20*10^-7
4) What is Fy(1), the y-component of the force exerted on a one meter length of the wire carrying current I1? -91*10^-7
5) What is Fx(2), the x-component of the force exerted on a one meter length of the wire carrying current I2? 3.684*10^-7

12:12

A rectangular loop of wire with sides H = 39 cm and W = 53 cm carries current I2 = 0.207 A. An infinite straight wire, located a distance L = 32 cm from segment ad of the loop as shown, carries current I1 = 0.643 A in the positive y-direction.
1) What is Fad,x, the x-component of the force exerted by the infinite wire on segment ad of the loop?
N
2) What is Fbc,x, the x-component of the force exerted by the infinite wire on segment bc of the loop?.
N
3) What is Fnet,y, the y-component of the net force exerted by the infinite wire on the loop?
N
4) Another infinite straight wire, aligned with the y-axis is now added at a distance 2L = 64 cm from segment bc of the loop as shown. A current, I3, flows in this wire. The loop now experiences a net force of zero.

What is the direction of I3?

along the positive y-direction
along the negative y-direction

5) What is the magnitude of I3?

05:08

The closed loop shown in the figure below carries a current of 6 A in the counterclockwise direction. The radius of the outer arc is 50 cm, that of the inner arc is 20 cm.

1) Find the magnetic field at point P.
1.88*10^-6 T
2) What is the direction of the magnetic field at point P?
pointing into the page

06:32

Two very long coaxial cylindrical conductors are shown in cross-section above. The inner cylinder has radius a = 2 cm and caries a total current of I1 = 1.2 A in the positive z-direction (pointing out of the screen). The outer cylinder has an inner radius b = 4 cm, outer radius c = 6 cm and carries a current of I2 = 2.4 A in the negative z-direction (pointing into the screen). You may assume that the current is uniformly distributed over the cross-sectional area of the conductors. What is Bx, the x-component of the magnetic field at point P which is located at a distance r = 5 cm from the origin and makes an angle of 30o with the x-axis? Bx =

11:46

A solid cylindrical conducting shell of inner radius a = 4.4 cm and outer radius b = 6.3 cm has its axis aligned with the z-axis as shown. It carries a uniformly distributed current I2 = 7.5 A in the positive z-direction. An inifinte conducting wire is located along the z-axis and carries a current I1 = 2.2 A in the negative z-direction.
1) What is By(P), the y-component of the magnetic field at point P, located a distance d = 32 cm from the origin along the x-axis as shown?
33.125 *10^-7 T
2) What is
∫PSB⃗ ⋅dl⃗
where the integral is taken along the dotted path shown in the figure above: first from point P to point R at (x,y) = (0.707d, 0.707d), and then to point S at (x,y) = (0.6d, 0.6d).
8.325*10^-7 T-m
3) What is By(T), the y-component of the magnetic field at point T, located at (x,y) = (-5.1 cm,0), as shown?
-9.932*10^-7 T
4)What is
∫SPB⃗ ⋅dl⃗
where the integral is taken on the straight line path from point S to point P as shown?
-8.325*10^-7 T-m
5) Suppose the magnitude of the current I2 is now doubled. How does the magnitude of the magnetic field at (x,y) = (2.2 cm, 0) change?
B(2.2 cm, 0) remains the same

11:28

Two infinite sheets of current flow parallel to the y-z plane as shown. The sheets are equally spaced from the origin by xo = 7.4 cm. Each sheet consists of an infinite array of wires with a density n = 13 wires/cm. Each wire in the left sheet carries a current I1 = 2.2 A in the negative z-direction. Each wire in the right sheet carries a current I2 = 5.9 A in the positive z-direction.
1)What is Bx(P), the x-component of the magnetic field at point P, loc
2)What is By(P), the y-component of the magnetic field at point P, lo
3)What is By(R), the y-component of the magnetic field at point R, located at (x,y) = (-11.1 cm, 0)?
4)What is
∮B⃗ ⋅dl⃗
where the integral is taken around the dotted path shown, from a to b to c to d to a. The path is a trapazoid with sides ab and cd having length 11 cm, side ad having length 7.9 cm, and side bc having length 11.7 cm. The height of the trapezoid is H = 10.8 cm.
5) What is By(S), the y-component of the magnetic field at point S, located at (x,y) = ( 11.1 cm, 0)?
6)What is
∫abB⃗ ⋅dl⃗
where the integral is taken along the dotted line shown, from a to b.