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cse63146

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## Homework Statement

To understand the behavior of the current and voltage in a simple R-C circuit

A capacitor with capacitance C is initially charged with charge q0. At time t=0 a resistor with resistance R is connected across the capacitor

__PART A__

Use the Kirchhoff loop rule and Ohm's law to express the voltage across the capacitor V(t) in terms of the current I(t) flowing through the circuit

__PART B__

We would like to use the relation V(t) = I(t)R to find the voltage and current in the circuit as functions of time. To do so, we use the fact that current can be expressed in terms of the voltage. This will produce a differential equation relating the voltage V(t) to its derivative. Rewrite the right-hand side of this relation, replacing I(t) with an expression involving the time derivative of the voltage.

## Homework Equations

## The Attempt at a Solution

For PART A I got the answer to be V(t) = I(t)R, but I'm having problems with the PART B. I'm not sure what the "time derivative of the voltage" is. Any suggestions?