Q.73

Expert-verifiedFound in: Page 794

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

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 .

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

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

We need to find.

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

Explaining about the circuit, does

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.

Finding the expression of the current I at time t.

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.

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