The circuit below show a resistor, R, an initially uncharged capacitor C, and a battery with a voltage V.The following tables give the resistance, capacitance, and voltage values for the resistor, capacitor, and battery respectively.Which of the following tables describes the set of values for the circuit in which the capacitor will take the longest time to charge?

C a p a c i t a n c e - 100 m F, V o l t a g e - 3.0 V, R e s i s t a n c e - 25, 000 ω

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C a p a c i t a n c e - 100 m F, V o l t a g e - 1.0 V, R e s i s t a n c e - 50, 000 ω

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C a p a c i t a n c e - 10 m F, V o l t a g e - 2.0 V, R e s i s t a n c e - 250, 000 ω

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C a p a c i t a n c e - 100 m F, V o l t a g e - 10.0 V, R e s i s t a n c e - 10, 000 ω

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C a p a c i t a n c e - 100 m F, V o l t a g e - 4.0 V, R e s i s t a n c e - 25, 000 ω

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $C a p a c i t a n c e - 100 m F, V o l t a g e - 1.0 V, R e s i s t a n c e - 50, 000 ω$
Time taken to charge a capacitor completely $t \approx 5 τ$ where time constant $τ = R C$
$⟹$ $t \propto R C$
Thus time taken by the capacitor is the longest for the data which the largest time constant.
According to the data, time constant for option B is the largest $(τ = 5000 s)$ , thus table in option B would take the longest time to charge a capacitor.

Suggest Corrections

Similar questions

Q. The circuit pictured below shows a battery, a resistor, and an uncharged capacitor with labeled values of voltage, resistance, and capacitance. The circuit also includes a switch, which can be opened (as pictured) or closed.
What is the value of the current in the circuit at the instant the switch is closed?

Q. The circuit pictured above shows a battery, a resistor and an uncharged capacitor with labeled values of voltage, resistance and capacitance. The circuit also includes a switch, which can be opened (as pictured) or closed.
What is the value of the current in the circuit at the instant the switch is closed?

Q. The circuit pictured below shows battery, two resistors, an uncharged capacitor and a switch. The resistor values are shown.
The switch is closed, and after an average current of

2.0 A

flows for

6.0 s

, the voltage across the capacitor is

4.0 V

.
What is the capacitance of the capacitor?

In a series L-C-R circuit the voltage across the resistance , capacitance and inductance is 10 V each. If capacitance is short circuited, the voltage across the inductance will be:

Q. A

20 V, 50 Hz

AC source is connected across a resistor of resistance

R

and a capacitor of capacitance

C

as shown in the figure. The voltage across the resistor is

12 V

. The voltage across the capacitor is

Join BYJU'S Learning Program