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Chapter 30: Q. 72 (page 874)

72. An electric oscillator is made with a 0.10渭Fcapacitor and a 1.0mHinductor. The capacitor is initially charged to5.0V . What is the maximum current through the inductor as the circuit oscillates?

Short Answer

Expert verified

The current passing through the circuit is 0.05 A.

Step by step solution

01

Step 1. Given information

The value of inductance, and capacitance

L=(1.0mH)1H1000mH=0.001HC=(0.10渭F)1脳10鈭�6F1渭F=1.0脳107F

02

Step 2. Explanation

Equate the potential energy stored in the capacitor is equal to potential energy stored in inductor.

UC=UL12LI2=12C螖V2I=螖VCLI=(25V)(8.0pF)1脳10鈭�12F1pF(20mH)1H1000mHI=5脳10鈭�4A

Therefore, the current passing through the circuit is 0.05A

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Most popular questions from this chapter

The L-shaped conductor in FIGUREP30.54 moves at 10m/sacross and touches a stationary L-shaped conductor in a 0.10Tmagnetic field. The two vertices overlap, so that the enclosed area is zero, at t=0s. The conductor has a resistance of 0.010ohms per meter.

a. What is the direction of the induced current?

b. Find expressions for the induced emf and the induced current as functions of time.

c. Evaluate鈭�andlatt=0.10s.

68. II A inductor with negligible resistance has a 1.0 A current through it. The current starts to increase at t=0s, creating a constant 5.0mVvoltage across the inductor. How much charge passes through the inductor between 5.0mVand t=5.0s?

The 10-cm-wide, zero-resistance slide wire shown in FIGURE is pushed toward the 2.0鈩�resistor at a steady speed of 0.50m/s. The magnetic field strength is 0.50T.

a. How big is the pushing force?

b. How much power does the pushing force supply to the wire?

c. What are the direction and magnitude of the induced current?

d. How much power is dissipated in the resistor?

A vertical, rectangular loop of copper wire is half in and half out of the horizontal magnetic field in FIGURE (The field is zero beneath the dashed line.) The loop is released and starts to fall. Is there a net magnetic force on the loop? If so, in which direction? Explain

The switch in FIGURE P30.77 has been open for a long time. It is closed at t=0s.

a. After the switch has been closed for a long time, what is the current in the circuit? Call this current I0.

b. Find an expression for the current Ias a function of time. Write your expression in terms of I0,,R,andL.

c. Sketch a current-versus-time graph from t=0suntil the current is no longer changing.
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