Question

The strength of the magnetic field within a solenoid is B = 2.1 × 10-2 T...

The strength of the magnetic field within a solenoid is B = 2.1 × 10-2 T (outside the solenoid B = 0). A smaller, single loop is placed in the solenoid parallel to the plane of each loop in the solenoid. The resistance of the solenoid is 5.9 W, the resistance of the loop is 0.27 W, the diameter of the solenoid is 0.09 m, and the diameter of the loop is 0.05 m. An emf of 12 V is placed across the ends of the solenoid and the length of the solenoid is 0.6 m.(a) What is the total number of turns of the solenoid?

N = turns     

(b) What is the magnitude of the magnetic flux through the loop inside the solenoid (remember, it only has one turn and the normal to the loop is parallel to the axis of the solenoid.)

flux = T-m2     

(c) If the emf across the solenoid is varied so that the current in the solenoid now decreases to zero at a constant rate over a time interval of 6 seconds, what is the current through the loop during this time? (If the direction of the induced current in the loop is in the same direction as the current in the solenoid, give your answer as a positive value; if the direction of the induced current in the loop is in the opposite direction compared to the current in the solenoid, give your answer as a negative value.)

I = A

Homework Answers

Answer #1

given

B = 2.1*10^-2 T
R = 5.9 ohms
R' = 0.27 ohms
d = 0.09 m
d' = 0.05 m

V = 12 V

L = 0.6 m

a) current through the solenoid, I = V/R

= 12/5.9

= 2.03 A

we know, B = mue*N*I/L

==> N = B*L/(mue*I)

= 2.1*10^-2*0.6/(4*pi*10^-7*2.03)

= 4939 turns

b) magnetic flux through the loop inside = B*A'

= B*pi*d'^2/4

= 2.1*10^-2*pi*0.05^2/4

= 4.12*10^-5 T.m^2

c) induced emf in the loop = change in megnctic flux/time

= (4.12*10^-5 - 0)/6

= 6.87*10^-6 V

induced current in the loop = induced emf/R'

= 6.87*10^-6/0.27

= 2.54*10^-5 A or 25.4 micro A

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The magnetic field measured with a Teslameter (or Gaussmeter) at the center of a solenoid is...
The magnetic field measured with a Teslameter (or Gaussmeter) at the center of a solenoid is 3.0 mT when a current of 0.3 A is flowing through it. The length of the solenoid is 15.0 cm. (a) Calculate the number of turns in the solenoid. (b) To produce magnetic field of 1.5 T at the center of the solenoid, how much current is needed? (c) If the diameter of the solenoid is 5.0 cm and a 10-turn coil with average...
1. A long solenoid with 500 turns of wire, length L=80cm and diameter d=2.5cm. The center...
1. A long solenoid with 500 turns of wire, length L=80cm and diameter d=2.5cm. The center of the solenoid is surrounded by a circular loop of wire with a diameter dloop=5.0cm and a resistance R=0.50ohm. The axis of the solenoid is also the axis for the loop. a. What is the magnetic field inside the solenoid when a current of 2.0A passes through the solenoid? [note: the magnetic field inside the solenoid is uniform and there is no magnetic field...
A circular loop with 50 coils is pulled (to the right) from an external magnetic field...
A circular loop with 50 coils is pulled (to the right) from an external magnetic field of 0.8 T into the page. At t=0 the right edge of the loop is at the right edge of the magnetic field. After 0.250 seconds the loop has moved completely out of the magnetic field. Diameter of the coil is 10 cm Find the rate of change in flux through one loop as the loop if the loop is pulled out of the...
a) A 550-turn solenoid, 28 cm long, has a diameter of 2.3 cm . A 15-turn...
a) A 550-turn solenoid, 28 cm long, has a diameter of 2.3 cm . A 15-turn coil is wound tightly around the center of the solenoid. If the current in the solenoid increases uniformly from 0 to 4.6 A in 0.60 s , what will be the induced emf in the short coil during this time? b) A 15.5-cm-diameter loop of wire is initially oriented perpendicular to a 1.4-T magnetic field. The loop is rotated so that its plane is...
A solenoid is 5.8 cm in diameter and 18 cm long. It has 255 turns and...
A solenoid is 5.8 cm in diameter and 18 cm long. It has 255 turns and carries a current of 13 A. A loop of diameter 2.9 cm is placed inside the solenoid so that the plane of the loop is perpendicular to the magnetic field inside the solenoid. What is the magnetic flux through this loop? A wire loop of diameter 10 cm is placed around the outside of the solenoid. The loop is centered on and perpendicular to...
6. A small 20-turn wire loop of area 5 mm2 is placed inside a long solenoid...
6. A small 20-turn wire loop of area 5 mm2 is placed inside a long solenoid that has 12000 turns/m and carries a sinusoidally varying current i of amplitude 3 A and angular frequency 500 rad/s. The central axes of the loop and solenoid coincide. What are the (a) magnetic field inside the loop? (b) magnetic flux trough the loop? (c) amplitude of emf induced in the loop?
A circular loop in the plane of the paper lies in a 0.65 T magnetic field...
A circular loop in the plane of the paper lies in a 0.65 T magnetic field pointing into the paper. If the loop's diameter changes from 19.4 cm to 7.2 cm in 0.15 s , what is the direction of the induced current? What is the magnitude of the average induced emf? If the coil resistance is 3.3 ? , what is the average induced current?
A time-varying magnetic field is perpendicular to the plane of a circular loop of diameter 10...
A time-varying magnetic field is perpendicular to the plane of a circular loop of diameter 10 cm made with wire of diameter 3.4 mm and resistivity 2.07 × 10-8?·m. The magnetic field increases as a function of time, with magnitude B = (0.79 t) T/s a) What is the magnitude of the emf induced in the loop? b) What is the value of the current through the loop? c) At what rate does energy appear as thermal energy in the...
A square loop of wire d=10cm is sitting inside a solenoid. The loop has a resistance...
A square loop of wire d=10cm is sitting inside a solenoid. The loop has a resistance of 40 Ohms. The loop is tilted upward at an angle of 30 degrees with the axis of the solenoid. A consand current flows through the solenoid producing magnetic field equal to 0.5T. What is the magnetic flux through the loop? What is the induced emf if the fields rate increased at a rate of .25T/s? What is the magituted of the current that...
A circular loop in the plane of the paper lies in a 0.75 T magnetic field...
A circular loop in the plane of the paper lies in a 0.75 T magnetic field pointing into the paper. The loop’s diameter is changed from 20.0 cm to 6.0 cm in 0.50 s. Determine the direction of the induced current and justify your answer. Determine the magnitude of the average induced emf. If the coil resistance is 2.5 Ω, what is the average induced current?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT