A coil is connected in series with a 11.0 kQ resistor. An ideal 59.9 V battery is applied across the two devices, and the current reaches a value of 2.20 mA after 4.84 ms. (a) Find the inductance of the coil. (b) How much energy is stored in the coil at this same moment? (a) Number i (b) Number i Units Units
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- A solenoid with 485 turns has a length of 8.00 cm and a cross-sectional area of 3.40 x 10-9 m². Find the solenoid's inductance and the average emf around the solenoid if the current changes from +2.50 A to -2.50 A in 6.83 x 10-3 s. HINT (a) the solenoid's inductance (in H) H (b) the average emf around the solenoid (in V)The magnetic flux through a coil is 2.50 mWb. The current in the coil is 1.00 A and has 100 turns of wiring. Determine the inductance of the coil.An electromagnet can be modeled as an inductor in series with a resistor. Consider a large electromagnet of inductance L = 12.5 H and resistance R = 7.50 connected to a 18.0-V battery and switch as in the figure shown below. After the switch is closed, find the following. S E + 'I R (a) the maximum current carried by the electromagnet A (b) the time constant of the circuit S (c) the time it takes the current to reach 95.0% of its maximum value S
- A solenoid with 495 turns has a length of 6.50 cm and a cross-sectional area of 3.10 x 10-9 m2. Find the solenoid's inductance and the average emf around the solenoid if the current changes from +4.00 A to -4.00 A in 6.33 x 10-3 s. HINT (a) the solenoid's inductance (in H) H (b) the average emf around the solenoid (in V) vTwo coils have a mutual inductance M = 0.0311 H, while the first coil has self- inductance L₁ = 0.0251 H. If the current through the first coil is changing at a rate di₁/dt = 2.32 A/s and the current through the second coil is changing at a rate di2/dt = 4.09 A/s, what is the magnitude of the EMF in the first loop? V INThe current in a coil decreases from 9.0 A to 5.5 A in 0.30 s. If the average emf induced in the coil is 25 mV, what is the self-inductance of the coil?
- (a) A coil of conducting wire carries a current of i(t) = 16.0 sin(1.20 x 10³t), where i is in amperes and t is in seconds. A second coil is placed in close proximity to the first, and the mutual inductance of the coils is 160 pH. What is the peak emf (in V) in the second coil? V (b) What If? Which would lead to a larger peak emf in the second coil, a doubling of the mutual inductance or a doubling of the frequency with which the current in the first coil changes? O Doubling the mutual inductance would lead to a larger peak emf. O Doubling the frequency with which the current in the first coil changes would lead to a larger peak emf. O The two changes would each have the same effect.A coil of 40 turns is wrapped around a long solenoid of cross-sectional area 7.5 × 10−3 m2. The solenoid is 0.50 m long and has 500 turns. (a) What is the mutual inductance of this system? (b) The outer coil is replaced by a coil of 40turns whose radius is three times that of the solenoid. What is the mutual inductance of this configuration?Two coils connected as shown in the figure separately have inductances L₁ = 57 mH and L2 = 74 mH. Their mutual inductance is M = 40 mH. What is the inductance of a single coil equivalent to this combination? L₁ L2 N₂ Νι Number i Units