A series RC circuit consists of a battery,a switch,a resistor,and a capacitor.In terms of the time constant
Of this circuit,how long after the switch is closed does the current in the circuit reach half of its maximum value?
A) 0.500
B) 1.50
C) 0.693
D) 2.00

Question

A series RC circuit consists of a battery,a switch,a resistor,and a capacitor.In terms of the time constant 
Of this circuit,how long after the switch is closed does the current in the circuit reach half of its maximum value?
A) 0.500 
B) 1.50 
C) 0.693 
D) 2.00

Quizplus · Accepted Answer

The time constant of an RC circuit is given by the product of resistance (R) and capacitance (C), i.e., RC.

The time taken for the current to reach half of its maximum value in an RC circuit is given by the expression:
t = 0.693 RC

Therefore, the time taken in the given circuit is:
t = 0.693 x 11ea7a51_638f_f608_89bd_0d5392986b17_TB5259_11 
t = 0.693 seconds

Hence, the correct choice is C, i.e., 0.693.

A Series RC Circuit Consists of a Battery,a Switch,a Resistor,and