A toroidal solenoid has a radius of 10.0 cm and a cross-sectional area of 0.500cm2 a) How many turns does the solenoid have if its inductance is 0.100 mH? b) What is the resistance of the solenoid if the wire being wound has a resistance per unit length of 0.0860 Q/ m? Now a current of 70 A is passed through the solenoid. Calculate: c) the magnetic field of the solenoid. d) the energy density of the magnetic field if the solenoid is filled with air. e) the total energy contained in the magnetic field of the coil (assume that the field is uniform)

A toroidal solenoid has a radius of 10.0 cm and a cross-sectional area of 0.500cm2 a) How many turns does the solenoid have if its inductance is 0.100 mH? b) What is the resistance of the solenoid if the wire being wound has a resistance per unit length of 0.0860 Q/ m? Now a current of 70 A is passed through the solenoid. Calculate: c) the magnetic field of the solenoid. d) the energy density of the magnetic field if the solenoid is filled with air. e) the total energy contained in the magnetic field of the coil (assume that the field is uniform)

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter31: Inductance

Section: Chapter Questions

Problem 4P

See similar textbooks

Similar questions

A long, cylindrical solenoid with 100 turns per centimeter has a radius of 1.5 cm. (a) Neglecting end effects, that is the self-inductance per unit length of the solenoid? (b) If the current through the solenoid changes at the rate 5.0 AJs, what is the emf induced per unit length?
The self-inductance and capacitance of an oscillating LC circuit are L = 20 mH and C = 1.0 F , respectively. (a) What is the frequency of the oscillation? (b) If the maximum potential difference the plates of the capacitor is 50 V, what is the maximum current in the circuit?
A 75-turn, 10.0 cm diameter coil rotates at an angular velocity of 8.00 radius in a 1.25 T field, starting with the plane of the coil parallel to the field. (a) What is the peak emf? (b) At what time is the peak emf first reached? (c) At what time is the emf first at its meet negative? (d) What is the period of the AC voltage output?
A 600-turn solenoid is 0.55 m long and 4.2 cm in diameter. Inside the solenoid, a small (1.1 cm × 1.4 cm), single-turn rectangular coil is fixed in place with its face perpendicular to the long axis of the solenoid. What is the mutual inductance of this system?
Check Your Understanding (a) Calculate the self-inductance of a solenoid that is tightly wound with wire of diameter 0.10 cm, has a cross-sectional area of 0.90 cm2, and is 40 cm long. (b) If the current through the solenoid decreases uniformly from 10 to 0 A in 0.10 s, what is the emf induced between the ends of the solenoid?
Suppose that a cylindrical solenoid is wrapped around a core of iron whose magnetic susceptibility is x. Using Equation 14.9, show that the self-inductance of the solenoid is given by L=(l+x)+0n2Al where l is its length, A its cross-sectional area and N its total number of turns. Nm=U
When the current through a large inductor is interrupted with a switch, an are appears across the open terminals of the switch. Explain.
Two coils close to each other have a mutual inductance of 32 mH. If the current in one coil decays according to I=I0eat , where I0= 5.0 A and =2.0103s1 , what is the emf induced in the second coil immediately after the current starts to decay? At t=10.0103s? ?
Check Your Understanding A transformer steps the line voltage down from 110 to 9.0 V so that a current of 0.50 A can be delivered to a doorbell (a) What is the ratio of the number of turns in the primary and secondary windings? (b) What is the current in the primary winding? (c) What is the resistance seen by the 110-V source?
Your RL circuit has a characteristic time constant of 20.0 ns, and a resistance of 5.00 M (a) What is the inductance of the circuit? (b) What resistance would give you a 1.00 ns time constant, perhaps needed for quick response in an oscilloscope?
The healing coils in a hair dryer are 0.800 cm in diameter, have a combined length of 1.00 m, and a total of 400 turns. (a) What is their total self-inductance assuming they act like a single solenoid? (b) How much energy is stored in them when 6.00 A flows? (c) What average emf opposes shutting them off if this is done in 5.00 ms (one-fourth at a cycle for 50 Hz AC)?
A coil with a self-inductance of 3.0 H carries a current that decreases at a uniform rate dl/dt = -0.050 A/s. What is the emf induced in the coil? Describe the polarity of the induced emf.