Doubling the voltage across a parallel plate capacitor does not double which of the following?
a. the charge
b. the electric field between the plates
c. the energy stored
d. the electric force on the plates
e. both a and b
is the answer A
if not then how do i do this problem
energy stored
To determine the correct answer to this question, let's analyze the different properties of a parallel plate capacitor and how they are affected by doubling the voltage across it.
a. The charge: The charge on a capacitor is directly proportional to the voltage across it. When the voltage is doubled, the charge stored on the plates of the capacitor will also double. Therefore, doubling the voltage will double the charge.
b. The electric field between the plates: The electric field between the plates of a parallel plate capacitor is directly proportional to the voltage across it. When the voltage is doubled, the electric field between the plates will also double. Therefore, doubling the voltage will double the electric field.
c. The energy stored: The energy stored in a capacitor is given by the formula: E = (1/2) * C * V^2, where C is the capacitance and V is the voltage across the capacitor. Doubling the voltage will result in an increase of V^2, which means the energy stored in the capacitor will increase by a factor of four.
d. The electric force on the plates: The electric force between the plates of a parallel plate capacitor is directly proportional to the charge and inversely proportional to the distance between the plates. Doubling the voltage across the capacitor does not affect the distance between the plates, so the electric force will remain the same. Therefore, doubling the voltage does not double the electric force.
e. Conclusion: Considering the analysis above, the correct answer is (e) both a and b. Doubling the voltage across a parallel plate capacitor will double the charge and double the electric field between the plates, but it will not double the energy stored or the electric force on the plates.
It is important to understand the relationships between the different properties of capacitors, such as charge, voltage, electric field, energy, and force. By applying the relevant formulas and understanding these relationships, you can solve problems related to parallel plate capacitors.