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Chapter 32: 6. (page 924)

A 200 Ω resistor is connected to an AC source with E0=10 V. What is the peak current through the resistor if the emf frequency is (a) 100 Hz? (b) 100 kHz?

Short Answer

Expert verified

Result is: $I_{0} = 50 mA$

Step by step solution

01

Part (a) Step 1 : Given information

R = 200Ω

$ε_{0}$ =10V

Frequency=100Hz

02

Part (a) Step 2 : Simplify

Peak Current is given by $I = \frac{ε_{o}}{R^{}}$ , does not depend on frequency.

$I_{o} = \frac{ε_{o}}{R}$

$I_{o} = \frac{10 V}{200 Ω}$

$I_{0 = 0.05 A}$

$I_{0 = 50 m A}$

03

Part (b) Step 1 : Given information

R = 200Ω

$ε_{0}$ =10V

Frequency=100 kHz

04

Part (b) Step 2 : Simplify

Peak Current is given by $I_{o} = \frac{ε_{o}}{R}$ , does not depend on frequency.

$I_{o} = \frac{ε_{o}}{R}$

$I_{o} = \frac{10 V}{200 Ω}$

$I_{o} = 0.05 A$

$I_{0 = 50 m A}$

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Most popular questions from this chapter

A $20 m H$ inductor is connected across an AC generator that produces a peak voltage of $10 V$ . What is the peak current through the inductor if the emf frequency is (a)

a. Evaluate $V_{C}$ at emf frequencies $1, 3, 10, 30, 100 K H z$

b. Graph $V_{C}$ versus frequency. Draw a smooth curve through your five points.

A high-pass $R C$ filter with a crossover frequency of $1000 H z$ uses a $100 Ω$ resistor. What is the value of the capacitor?

A $20 n F$ capacitor is connected across an AC generator that produces a peak voltage of $5.0 V$ .

a. At what frequency $f$ is the peak current $50 m A$ ?

b. What is the instantaneous value of the emf at the instant when $i_{c} = I_{c}$ ?

A 200 Ω resistor is connected to an AC source with $ε_{0}$ =10 V. What is the peak current through the resistor if the emf frequency is (a) 100 Hz? (b) 100 kHz?

See all solutions

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