Chapter 32: Q. 8 (page 924)

A $0.30 μ F$ capacitor is connected across an AC generator that produces a peak voltage of $10 V$ . What is the peak current to and from the capacitor if the emf frequency is
(a) $100 H z$ ?
(b) $100 k H z$ ?

Short Answer

Expert verified

$(a) I_{o} = 1.9 \times 10^{- 3} A$

role="math" localid="1649956592903" $(b) I_{o} = 1.9 A$

Step by step solution

Part (a) Step 1: Given Information:

We have been given that

Capacitance ( $C$ )= $0.30 μ F$

Peak voltage ( $E_{o}$ )= $10 V$

Emf frequency (n)= localid="1649958487243" $100 H z$

Part (a) Step 2: Solving:

Peak current I_ois given by : $I_{o} = E_{o} \times ω \times C$

Putting the value of $(ω) as 2 π n$ in the above equation: $I_{o} = E_{o} \times 2 π n \times C$

Using the given values in the updated equation we get: $I_{o} = (10) \times 2 π (100) \times (0.30 \times 10^{- 6})$

There the peak value of current for a frequency of $100 H z$ is $I_{o} = 1.9 \times 10^{- 3} A$

Part (b) Step 1: Given Information:

We have been given that

Capacitance ( $C$ )= $0.30 u F$

Peak voltage ( $E_{o}$ )= $10 V$

Emf frequency (n)= $100 k H z$

Part (b) Step 2: Solving:

Using the expression of I_o that we earlier used: $I_{o} = E_{o} \times 2 π n \times C$

Putting the known values: $I_{o} = (10) \times 2 π (100 \times 10^{3}) \times (0.30 \times 10^{- 6})$

$I_{o} = 1.9 A$

Therefore the peak current value for an emf frequency of $100 k H z$ is $I_{o} = 1.9 A$

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A $0.30 μ F$ capacitor is connected across an AC generator that produces a peak voltage of $10 V$ . What is the peak current to and from the capacitor if the emf frequency is
(a) $100 H z$ ?
(b) $100 k H z$ ?

Short Answer

Step by step solution

Part (a) Step 1: Given Information:

Part (a) Step 2: Solving:

Part (b) Step 1: Given Information:

Part (b) Step 2: Solving:

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A 0.30μFcapacitor is connected across an AC generator that produces a peak voltage of 10V. What is the peak current to and from the capacitor if the emf frequency is(a) 100Hz?(b)100kHz?

Short Answer

Step by step solution

Part (a) Step 1: Given Information:

Part (a) Step 2: Solving:

Part (b) Step 1: Given Information:

Part (b) Step 2: Solving:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Rotational Dynamics

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Scientific Method Physics

Study anywhere. Anytime. Across all devices.

A $0.30 μ F$ capacitor is connected across an AC generator that produces a peak voltage of $10 V$ . What is the peak current to and from the capacitor if the emf frequency is
(a) $100 H z$ ?
(b) $100 k H z$ ?