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Current I=V0/R as per OHMs law: V=IR

Charge on capacitor Q=CV=It

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Q: A resistor R and a capacitor C are connected in series to a battery of terminal voltage V0 what equations relating the current you in the circuit and the charge Q on the capacitor de?
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What is the time constant of a 0.001 microfarad capacitor and a 15000 ohm resistor connected in series in a dc circuit?

The same as the time constant of a 2.7 microfarad capacitor and a 33 ohm resistor connected in series.


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Since they're connected in parallel directly across the source, the voltages across both componentsare equal, and are equal to the source, i.e. 120 v DC.


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The initial condition is the voltage and/or current existing at the time a mathematical solution begins. Example: what happens when a resistor is connected across a capacitor? well, you say that at t=0 the resistor is connected, then after that the voltage across the capacitor is v0.exp(-t/RC), where v0 is the starting voltage, t is the time, R is the resistance and C is the capacitance. This simple solution needs only one initial condition which is the starting voltage v0 across the capacitor. Linear differential equations are common in electrical engineering and a complete solution of one (such as the example) always requires one or more initial conditions.

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