Chapter 32: Q. 15 (page 924)

A high-pass RC filter is connected to an AC source with a peak voltage of $10.0 V$ . The peak capacitor voltage is $6.0 V$ . What is the resistor voltage?

Short Answer

Expert verified

The resistor voltage is $8 V$ .

Step by step solution

Given information

We have been given that,

Peak Voltage of an A.C. Circuit is, $V_{0} = 10.0 V$

And peak Capacitor Voltage is, $V_{C} = 6.0 V$

Simplify

Let Resistor Voltage $= V_{R}$

In RC Filter, we know that,

Peak voltage is,

$V_{0} = \sqrt{{V_{R}}^{2} + {V_{C}}^{2}}$

${V_{0}}^{2} = {V_{R}}^{2} + {V_{C}}^{2}$

$10^{2} = {V_{R}}^{2} + 6^{2} 100 = {V_{R}}^{2} + 36 {V_{R}}^{2} = 100 - 36 {V_{R}}^{2} = 64 V_{R} = \sqrt{64} V_{R} = 8 V$

Hence, resistor voltage is $8 V$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

A high-pass RC filter is connected to an AC source with a peak voltage of $10.0 V$ . The peak capacitor voltage is $6.0 V$ . What is the resistor voltage?

Short Answer

Step by step solution

Given information

Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Famous Physicists

Nuclear Physics

Fluids

Magnetism

Torque and Rotational Motion

Atoms and Radioactivity

Study anywhere. Anytime. Across all devices.

A high-pass RC filter is connected to an AC source with a peak voltage of 10.0V. The peak capacitor voltage is 6.0V. What is the resistor voltage?

Short Answer

Step by step solution

Given information

Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Famous Physicists

Nuclear Physics

Fluids

Magnetism

Torque and Rotational Motion

Atoms and Radioactivity

Study anywhere. Anytime. Across all devices.

A high-pass RC filter is connected to an AC source with a peak voltage of $10.0 V$ . The peak capacitor voltage is $6.0 V$ . What is the resistor voltage?