Two metal spheres have charges of equal magnitude, 3.2 ×10^-14 C, but opposite sign. If the pote

step 1 It was told that two middle spheres have churches of equal magnitude but opposite sign. The quan

Two metal spheres have charges of equal magnitude, 3.2...

Two metal spheres have charges of equal magnitude, $3.2 \times 10^{-14} \mathrm{C},$ but opposite sign. If the potential difference between the two spheres is $4.0 \mathrm{mV},$ what is the capacitance?

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Key Concepts

Capacitance

Capacitance is a measure of a system's ability to store electrical charge per unit voltage. The concept is fundamental in understanding how energy is stored in electric fields, and it is defined by the formula C = Q/V, where C is the capacitance, Q is the charge, and V is the potential difference between the conductors.

Electric Potential Difference

Electric potential difference, often referred to as voltage, represents the work done per unit charge in moving a charge between two points in an electric field. It is a key concept in determining how much energy is associated with a moving charge and directly influences the behavior of capacitive systems.

Relationship Between Charge, Voltage, and Capacitance

The equation Q = CV establishes a direct proportionality between the amount of stored charge, the capacitance, and the voltage across a capacitor. This relationship is fundamental in analyzing and calculating characteristics of capacitive devices, enabling one to determine any of the three variables when the other two are known.

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