The capacitor was connected to a 100V source. Introduce the dielectric E = 4 into the capacitor.

The capacitor was connected to a 100V source. Introduce the dielectric E = 4 into the capacitor. How will the charge change?

U = 100 V.
ε = 4.
Q2 / Q1 -?
The electric capacity of a flat capacitor C is determined by the formula: C = Q / U and C = ε0 * ε * S / d.
Where Q is the charge on the capacitor plates, U is the voltage across the capacitor, ε0 is the electrical constant, ε is the dielectric constant between the capacitor plates, S is the area of the capacitor plates, d is the distance between the plates.
Q = C * U = ε0 * ε * S * U / d.
Q1 = ε0 * S * U / d.
Q2 = ε0 * ε * S * U / d = 4 * ε0 * S * U / d = 4 * Q1.
Q2 / Q1 = 4.
Answer: the capacitor charge will increase by 4 times.




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