Question

Imagine you have a circular solenoid with N = 50 turns. The solenoid has a diameter...

Imagine you have a circular solenoid with N = 50 turns. The
solenoid has a diameter of di = 1.5 cm, and the length of the coil
is L = 35 cm. The coil is perpendicular to a uniform magnetic field
of B = 0.75 T, and suddenly increases in diameter (remaining
circular) from di = 1.5 cm to df = 3.0 cm over the course of 1
second. The coil has a resistance of 0.68 W. What are the
magnitudes and directions of the induced current and magnetic
field?
I have done this so far:Flux per turn=BA
A=pi*d^2/4
Ind EMF=N*d(flux)/dt
E=NB(Theta A)/t=(N*B*pi)*(df^2-di^2)/4*t
I=e/R
I=(50)*(0.75T)(pi)(0.03^2-0.015^2)/(4*1*0.68)
I=0.0292 A

Homework Answers

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
2. A circular coil with 30 turns of wire has a diameter of 2.00 cm. The...
2. A circular coil with 30 turns of wire has a diameter of 2.00 cm. The total resistance of the coil is 0.350 Ω. An applied uniform magnetic field is directed upward, perpendicular to the plane of the coil. a) If the magnetic field changes linearly from 0.000 T to 0.800 T in 0.500 s, what is the induced emf in the coil while the field is changing? b) What is the magnitude and direction (CW or CCW when looked...
1. A long solenoid with a diameter of 10 cm has 200 turns/cm. If the current...
1. A long solenoid with a diameter of 10 cm has 200 turns/cm. If the current is decreased at a rate of 3 mA/s, what is the magnitude of the induced electric field (in mV/m), 6 cm from the axis of the solenoid? A. 0.2 B. 0.1 C. 0.3 D. 0.4 2. A series RL circuit with R = 40 Ω and L = 10 H has a constant voltage V = 100 V applied at t = 0 by...
A closely wound, circular coil with a diameter of 4.50 cm has 630 turns and carries...
A closely wound, circular coil with a diameter of 4.50 cm has 630 turns and carries a current of 0.480 A . a)What is the magnitude of the magnetic field at the center of the coil? b)What is the magnitude of the magnetic field at a point on the axis of the coil a distance of 7.00 cm from its center?
a)Assume that there is a long ideal solenoid with 120 turns/cm. It carries a current i=...
a)Assume that there is a long ideal solenoid with 120 turns/cm. It carries a current i= 2 A and it has a diameter 2 cm and a length 5 m. Find the uniform magnetic field inside the solenoid. b) Insert a single circular coil at the center of the long ideal solenoid that is mentioned at part (a). Solenoid and coil are coaxial. Coil has diameter 0.5 cm. Now the current in the solenoid decreases steadily from 2 A to...
Magnetization. Consider a long solenoid with a core that is an iron alloy.  Suppose that the diameter...
Magnetization. Consider a long solenoid with a core that is an iron alloy.  Suppose that the diameter of the solenoid is 2 cm and the length of the solenoid is 20 cm.  The number of turns on the solenoid is 200.  The current is increased until the core is magnetized to saturation at about I= 2 A and the saturated magnetic field is 1.5 T. (a) What is the magnetic field intensity at the center of the solenoid and the applied magnetic field,...
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 circular coil consits of N=14 loops each of diameter 1.0 m. the coil is placed...
A circular coil consits of N=14 loops each of diameter 1.0 m. the coil is placed in a external magnetic field of 0.5T. The angle between the normal to the plane of the coil and the magnitic field is 45 degrees. Calculate the torque in Nm in exerted by the magnetic field on the coil when i=6A
A 19.0 cm -diameter coil consists of 21 turns of circular copper wire 3.0 mm in...
A 19.0 cm -diameter coil consists of 21 turns of circular copper wire 3.0 mm in diameter. A uniform magnetic field, perpendicular to the plane of the coil, changes at a rate of 8.38×10−3 T/s . a) Determine the current in the loop. b) Determine the rate at which thermal energy is produced.
A 20.8 cm -diameter coil consists of 22 turns of circular copper wire 2.8 mm in...
A 20.8 cm -diameter coil consists of 22 turns of circular copper wire 2.8 mm in diameter. A uniform magnetic field, perpendicular to the plane of the coil, changes at a rate of 8.50×10^?3 T/s . a) Determine the current in the loop b) Determine the rate at which thermal energy is produced.
A 23.6 cm -diameter coil consists of 21 turns of circular copper wire 3.0 mm in...
A 23.6 cm -diameter coil consists of 21 turns of circular copper wire 3.0 mm in diameter. A uniform magnetic field, perpendicular to the plane of the coil, changes at a rate of 8.60×10?3 T/s. Part A: Determine the current in the loop. Part B: Determine the rate at which thermal energy is produced.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT