Question

8. Consider a capacitor that is made of two large conducting plates that are rectangular in shape (1 cm by 6 cm), aligned parallel to each other, and separated by an air-filled gap of 0.001 cm. This capacitor is included in a circuit where a battery provides 15,000 V of potential difference. When the capacitor is fully charged in this circuit, what is the c

Answer 1

Answer:
`7.96\ \mu C`

Step-by-step explanation:

Given

The dimension of the plate is
`1\ cm* 6\ cm`

The gap between the plate is
`0.001\ cm`

Voltage applied
`V=15,000\ V`

The capacitance of the capacitor is

`C=(\epsilon_o A)/(d)\\\\C=(8.85* 10^(-12)* 1* 6* 10^(-4))/(10^(-5))\\\\C=53.1* 10^(-11)\ F`

Charge acquired by the capacitor

`\Rightarrow Q=CV\\\Rightarrow Q=53.1* 10^(-11)* 15,000\\\Rightarrow Q=796.5* 10^(-8)\\\Rightarrow Q=7.96* 10^(-6)\ C`