If a dielectric material with a dielectric constant of 4 is inserted into a capa

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Question: If a dielectric material with a dielectric constant of 4 is inserted into a capacitor, how does the capacitance change?

Options:

Correct Answer: It quadruples

Solution:

The capacitance increases by a factor equal to the dielectric constant. Thus, it quadruples.

If a dielectric material with a dielectric constant of 4 is inserted into a capacitor, how does the capacitance change?

If a dielectric material with a dielectric constant of 4 is inserted into a capacitor, how does the capacitance change?

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 inserted between the plates of a capacitor.
Step 3: Learn about the dielectric constant. The dielectric constant is a number that shows how much a dielectric material can increase the capacitance of a capacitor.
Step 4: Identify the dielectric constant given in the question. In this case, the dielectric constant is 4.
Step 5: Understand how capacitance changes with a dielectric. When a dielectric is inserted into a capacitor, the capacitance increases by a factor equal to the dielectric constant.
Step 6: Calculate the new capacitance. If the original capacitance is C, the new capacitance becomes C multiplied by the dielectric constant (4).
Step 7: Conclude that the capacitance quadruples because 4 times the original capacitance is 4C.

Capacitance and Dielectric Materials – The relationship between capacitance and dielectric constant, where inserting a dielectric increases capacitance by the factor of the dielectric constant.