The two metal objects in Fig. 25-41 have net charges of +70 pC and -70 pC, which result in a 35

step 1 In this question we have been given two metallic objects and the net charges at first. So the in

The two metal objects in Fig. 25-41 have net charges of +70...

The two metal objects in Fig. $25-41$ have net charges of $+70 \mathrm{pC}$ and $-70 \mathrm{pC}$, which result in a $35 \mathrm{~V}$ potential difference between them. (a) What is the capacitance of the system? (b) If the charges are changed to $+200 \mathrm{pC}$ and $-200 \mathrm{pC}$, what does the capacitance become? (c) What does the potential difference become?

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Key Concepts

Capacitance

Capacitance is the property of a system of conductors to store an electric charge per unit potential difference. It is defined by the equation C = Q/V, where C is the capacitance, Q is the charge stored, and V is the potential difference between the conductors. The capacitance depends solely on the geometry of the conductors and the medium between them, not on the amount of charge applied.

Charge-Voltage Relationship

The relationship between charge and voltage in a capacitor is given by Q = C × V. This means that for a fixed capacitor (where C is constant), any change in the stored charge will result in a proportional change in the potential difference across it. Conversely, if the potential difference is held constant, the stored charge adjusts in direct proportion to the capacitance.

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