It takes 133 J of work to move 3 C of charge from the negative plate to the positive plate of a parallel plate capacitor. What voltage difference exists between the plates? Answer in units of V.
work = charge * voltage
work in Joules
charge in Coulombs
voltage in Volts
133/3 = 44 1/3 Volts
The work done to move a charge from one point to another is given by the equation:
Work = Charge * Voltage
Given that the work is 133 J and the charge is 3 C, we can rearrange the equation to solve for the voltage:
Voltage = Work / Charge
Substituting the given values:
Voltage = 133 J / 3 C
Calculating the result:
Voltage = 44.333 V
Therefore, the voltage difference between the plates is 44.333 V.
To find the voltage difference between the plates, we can use the formula:
V = W / Q
Where:
V is the voltage difference between the plates,
W is the work done to move the charge, and
Q is the magnitude of the charge.
In this case, we are given that W = 133 J and Q = 3 C. Substituting these values into the formula, we get:
V = 133 J / 3 C
To calculate this, we divide 133 by 3:
V ≈ 44.33 V
Therefore, the voltage difference between the plates is approximately 44.33 V.