If a dielectric material with a dielectric constant of 4 is placed in a capacito

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Question: If a dielectric material with a dielectric constant of 4 is placed in a capacitor, how does it affect the capacitance?

Options:

Correct Answer: It doubles the capacitance

Solution:

The capacitance increases by the factor of the dielectric constant, so C\' = k * C, where k = 4.

If a dielectric material with a dielectric constant of 4 is placed in a capacitor, how does it affect the capacitance?

If a dielectric material with a dielectric constant of 4 is placed in a capacitor, how does it affect the capacitance?

Step 1: Understand what a capacitor is. A capacitor is a device that stores electrical energy.
Step 2: Know what a dielectric material is. A dielectric material is an insulating substance that can be placed between the plates of a capacitor.
Step 3: Learn about the dielectric constant. The dielectric constant (k) is a number that shows how much a dielectric material can increase the capacitance of a capacitor.
Step 4: Identify the given dielectric constant. In this case, the dielectric constant (k) is 4.
Step 5: Understand the formula for capacitance with a dielectric. The new capacitance (C') can be calculated using the formula C' = k * C, where C is the original capacitance.
Step 6: Apply the dielectric constant to the formula. Since k = 4, the new capacitance becomes C' = 4 * C.
Step 7: Conclude that the capacitance increases by a factor of 4 when the dielectric material is added.

Dielectric Effect on Capacitance – The introduction of a dielectric material into a capacitor increases its capacitance by a factor equal to the dielectric constant.