Select your language

Suggested languages for you:
Log In Start studying!
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q.73

Expert-verified
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 794

Answers without the blur.

Just sign up for free and you're in.

Illustration

Short Answer

The capacitor in FIGURE begins to charge after the switch closes at.

a. What is a very long time after the switch has closed?

b. What is in terms of E,R, and C?

c. In this circuit, does ? Explain.

d. Find an expression for the current I at time t. Graph I from to

a. The value of is .

b. The value of is .

c. In this circuit

d. The expression for the current is .

See the step by step solution

Step by Step Solution

Part (a) Step 1: Given information.

We need to find expression for the current I at time t.

Part (a) Step 2: Explanation

If the battery starts to charge the capacitor. After a long time, it is fully charged and the potential difference across the capacitor is the same for the

Part (b) Step 1 : Given Information

We need to find.

Part (b) Step 2 : Simplify

If it is fully charged, on the plates of the maximum . This will be found at the voltage

Part (c) Step 1 : Given Information. 

Explaining about the circuit, does

Part (c) Step 2: Clarification

When the switch is closed, current starts to flow from the battery to the capacitor, so the charges on the capacitor increases, The change of the charge is positive.

Part (d) Step 1 : Given Information.

Finding the expression of the current I at time t.

Part (d) Step 2 :

The capacitor discharge and the current flow through the resistors. To charge it flows through the circuit in time t

t is the time and is the time constant. The change of the charge with time, so we use the expression from part (c) to get I

The capacitor discharge and the current flow through the two resistors when the switch is off. The time taken to discharge the capacitor is called the time constant and it is given the equation in the form

Plug the expression for and into equation (2) to get I by

The time decreases exponentially.

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.