Charge on the Capacitor at a Specific Time

In summary, the switch in the RC circuit is closed at t=0 and the charge on the capacitor at the time t = .35 ms is 3.78*10^-4 C. However, the answer is asked for in mC and the correct formula for this is q(t)= CV(1-e^(-t/RC)). The answer can be converted to mC by multiplying it by 1000, giving a final answer of 0.378 mC.
  • #1
brittydagal
8
0

Homework Statement



The switch in the RC circuit shown in the figure is closed at t=0.

What is the charge on the capacitor at the time t = .35 ms?

I'm 95% sure I'm using the right formula but it's not working so I was wondering if I was possibly confusing something?

Homework Equations



q(t)= CV(1-e^(-t/RC))

The Attempt at a Solution



q(t)= CV(1-e^(-t/RC))
= (62*10^-6)(15 V)(1 - e^(-.00035/(10.8*(62*10^-6)))
= 3.78*10^-4 C ----> this is definitely wrong because the answer is asked for in mC -> any ideas?
 
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  • #2
Figure's missing.

You got an answer in C, but you can certainly express it in mC (millicoulomb), can't you? Are you saying that that answer is not accepted?
 

FAQ: Charge on the Capacitor at a Specific Time

What is a capacitor?

A capacitor is an electronic component that stores electrical energy in the form of an electric charge. It consists of two conductive plates separated by an insulating material, known as a dielectric.

How does a capacitor charge at a specific time?

A capacitor charges at a specific time when it is connected to a power source, such as a battery. When the power source is connected, electrons flow from one plate to the other, creating a build-up of charge on the plates. The amount of charge on the capacitor at a specific time depends on the capacitance of the capacitor and the voltage of the power source.

What is the equation for calculating the charge on a capacitor at a specific time?

The equation for calculating the charge on a capacitor at a specific time is Q = CV, where Q is the charge in coulombs, C is the capacitance in farads, and V is the voltage in volts.

How does the charge on a capacitor change over time?

The charge on a capacitor changes over time in a non-linear manner. Initially, the charge increases rapidly as the capacitor charges, but as it reaches its maximum charge, the rate of change decreases. At this point, the capacitor is said to be fully charged.

Can the charge on a capacitor be negative?

Yes, the charge on a capacitor can be negative. This occurs when the capacitor is connected to a power source with a voltage opposite to its initial charge. In this case, electrons flow from one plate to the other in the opposite direction, resulting in a negative charge on the capacitor.

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