Question

When the current in a long, straight, air-filled solenoid is changing at the rate of 3000...

When the current in a long, straight, air-filled solenoid is changing at the rate of 3000 A/s, the voltage across the solenoid is 0.600 V. The solenoid has 1200 turns and uniform cross-sectional area 25.0 mm2. Assume that the magnetic field is uniform inside the solenoid and zero outside, so the inductance formula L=μ0AN2/l for a solenoid with N turns, uniform cross-sectional area A, and length l, applies.

What is the magnitude B of the magnetic field in the interior of the solenoid when the current in the solenoid is 3.00 A?

Express your answer with the approppriate units.

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
A solenoid 28.0 cm long and with a cross-sectional area of 0.500 cm^2 contains 480 turns...
A solenoid 28.0 cm long and with a cross-sectional area of 0.500 cm^2 contains 480 turns of wire and carries a current of 90.0 A. A-)Calculate the magnetic field in the solenoid. B-)Calculate the energy density in the magnetic field if the solenoid is filled with air. C-)Calculate the total energy contained in the coil's magnetic field (assume the field is uniform). D-)Calculate the inductance of the solenoid.
A long, straight solenoid with a cross-sectional area of 12.00 cm2 is wound with 80 turns...
A long, straight solenoid with a cross-sectional area of 12.00 cm2 is wound with 80 turns of wire per centimeter, and the windings carry a current of 0.16 A. A second winding of 10 turns encircles the solenoid at its center. The current in the solenoid is turned off such that the magnetic field of the solenoid becomes zero in 0.08 s. What is the average induced electromotive force (emf) in the second winding? ( ??=?? ? ??−??.?/? ) (?=?.??)
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...
An ideal solenoid with 875 turns is 0.250 m long and has a cross-sectional area of...
An ideal solenoid with 875 turns is 0.250 m long and has a cross-sectional area of 3.00 ✕ 10−3 m2. (a) What is the inductance of this solenoid? H (b) If we connect this solenoid in series with a 12.0-V battery and a 195-Ω resistor, what is the maximum value of the current? A (c) Assuming the current is zero when t = 0 as the circuit elements are connected, at what time will the current reach 50% of its...
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...
A 370 turn solenoid of length 37.0 cm and radius 3.30 cm carries a current of...
A 370 turn solenoid of length 37.0 cm and radius 3.30 cm carries a current of 5.20 A. Find the following. (a) the magnetic field strength inside the coil at its midpoint mT (b) the magnetic flux through a circular cross-sectional area of the solenoid at its midpoint T · m2
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?
1. A long, current-carrying solenoid with an air core has 1650 turns per meter of length...
1. A long, current-carrying solenoid with an air core has 1650 turns per meter of length and a radius of 0.0220 m. A coil of 100 turns is wrapped tightly around the outside of the solenoid, so it has virtually the same radius as the solenoid. What is the mutual inductance of this system? 2. A generator uses a coil that has 360 turns and a 0.53-T magnetic field. The frequency of this generator is 60.0 Hz, and its emf...
a) Assume that there is a long ideal solenoid with 120 turns/cm. It carries a current...
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. c) Now, construct an RL circuit using an ideal battery that has potential difference 5 V, one resistor with R = 2 Ω and the solenoid that has same shape with one mentioned at part (a). Find the potential difference across...
A long solenoid has a diameter 12.7 cm. When a current i is passed through its...
A long solenoid has a diameter 12.7 cm. When a current i is passed through its winding, a uniform magnetic field B = 38.2 mT is produced in its interior. By decreasing i, the field is caused to decrease at the rate 6.71 mT/s. Calculate the magnitude of the induced electric field (a) 1.28 cm from the axis of the solenoid. V/m (b) 7.79 cm from the axis of the solenoid V/m
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT