Question

A long, cylindrical solenoid with 100 turns per centimeter has a radius of 1.5 cm. If...

A long, cylindrical solenoid with 100 turns per centimeter has a radius of 1.5 cm. If the current through the solenoid changes at the rate 5.0 A/s, what is the emf induced per unit length? (express the answer as a positive quantity). Answer should be in units (A/s). Please show your work!

0 0
Add a comment Improve this question Transcribed image text
Answer #1

First we need to determine the self-inductance per unit length:

Here Area of cross section

Now the emf induced per unit length is given by the relation as follows:

Add a comment
Know the answer?
Add Answer to:
A long, cylindrical solenoid with 100 turns per centimeter has a radius of 1.5 cm. If...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Problem 3: A solenoid that has 50 turns per centimeter has a radius of 3 cm....

    Problem 3: A solenoid that has 50 turns per centimeter has a radius of 3 cm. There is a single circular loop with radius of 2 cm in the very center of the solenoid. The axes of both the solenoid and the loop are the exact same. The current through the solenoid varies with time based on the formula below beginning at a time we will define to be t = 0. What is the emf generated in the single...

  • A long solenoid has 470 turns per meter. A coil of radius 1.1 cm with 30...

    A long solenoid has 470 turns per meter. A coil of radius 1.1 cm with 30 turns of insulated wire is placed inside the solenoid, its axis parallel to the axis of the solenoid. (a) What is the mutual inductance? H (b) What emf will be induced around the coil if the current in the solenoid winding changes at the rate of 180 A/s? V

  • A solenoid has a length of 28 cm, a radius of 0.5 cm, and 375 turns,...

    A solenoid has a length of 28 cm, a radius of 0.5 cm, and 375 turns, and carries a 3.5-A current. Find B on the axis at the center of the solenoid. Find the flux through the solenoid, assuming B to be uniform. Find the self-inductance of the solenoid. Find the induced emf in the solenoid when the current changes at 145 A/s.

  • A solenoid of radius 1.5 cm has 480 turns and a length of 25 cm. (a)...

    A solenoid of radius 1.5 cm has 480 turns and a length of 25 cm. (a) Find its inductance. ____mH (Apply the expression for the inductance of a solenoid.) (b) Find the rate at which current must change through it to produce an emf of 60 mV. (Enter the magnitude.) ____ A/s

  • 4) Induction Effect. A very long solenoid of radius R-2.5 cm has n 5 turns/cm. Starting...

    4) Induction Effect. A very long solenoid of radius R-2.5 cm has n 5 turns/cm. Starting from an initial current of io 50 A at 1 = 0, a steadily increasing current is driven through the coils of the solenoid, at a rate of didt = 10 A/s. The solenoid is surrounded by a square flat "pickup" coil of N= 100 turns and of side lengthに10 cm (oriented with its plane perpendicular to, and its center at, the solenoid axis)....

  • A very long, straight solenoid with a cross-sectional area of 2.10 cm² is wound with 94.9...

    A very long, straight solenoid with a cross-sectional area of 2.10 cm² is wound with 94.9 turns of wire per centimeter. Starting at t = 0, the current in the solenoid is increasing according to i(t) = (0.168 A/s²). A secondary winding of 5.0 turns encircles the solenoid at its center, such that the secondary winding has the same cross-sectional area as the solenoid. Part A What is the magnitude of the emf induced in the secondary winding at the...

  • A solenoid of radius 1.5 cm has 640 turns and a length of 25 cm. (a)...

    A solenoid of radius 1.5 cm has 640 turns and a length of 25 cm. (a) Find its inductance. (b) Find the rate at which current must change through it to produce an emf of 80 mV.

  • A very long, straight solenoid with a diameter of 3.00 cm is wound with 40 turns...

    A very long, straight solenoid with a diameter of 3.00 cm is wound with 40 turns of wire per centimeter and the windings carry a current of 0.260 A. A second coil having N turns and a larger diameter is slipped over the solenoid so that the two are coaxial. The current in the solenoid is ramped down to zero over a period of 0.2s. What average emf is induced in the second coil if it has a diameter of...

  • Question 2: A circular solenoid of radius 2.5 cm has 400 turns and a length of...

    Question 2: A circular solenoid of radius 2.5 cm has 400 turns and a length of 20 cm. The current in the solenoid changes at the rate of +38 A/s. a) Find the self-inductance L of the solenoid. b) Calculate the magnitude of the induced emf in the solenoid

  • A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 1.70 cm

    A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 1.70 cm and 1.00 × 10³ turns/meter (see figure below). The current in the solenoid changes as I=5.00 sin 120 t, where I is in amperes and t is in seconds. Find the induced emf (in volts) in the 15-turn coil as a function of time.ɛ= _______ 

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT