Question

Емкость первого конденсатора в 6 раз больше емкости второго. На какой конденсатор нужно подать большее напряжение, чтобы заряд конденсаторов стал одинаковым? Во сколько раз больше? (Ответ:на второй, в 6 раз) Не могу доказать с помощью формул, помогите плиз.

Answer 1

Формула емкости конденсатора C=q/U.
емкость первого C=q/U, второго 6C=q/U
простая математика, увеличиваем напряжение(U) второго конденсатора в 6 раз, получаем 6C=q/6U, шестерки сокращаются. так мы и сравняли заряды.

Answer 2

Understanding the Problem

To answer this question, we need to determine which capacitor needs to be subjected to a higher voltage in order for the charges on both capacitors to become equal. We are given that the capacitance of the first capacitor is 6 times greater than the capacitance of the second capacitor.

Solution

To solve this problem, we can use the formula for the charge on a capacitor:

Q = CV

Where: - Q is the charge on the capacitor - C is the capacitance of the capacitor - V is the voltage applied to the capacitor

We want the charges on both capacitors to be equal. Let's assume the capacitance of the second capacitor is C, and the capacitance of the first capacitor is 6C.

For the first capacitor: Q1 = (6C)V1

For the second capacitor: Q2 = CV2

Since we want the charges to be equal, we can set Q1 equal to Q2:

(6C)V1 = CV2

To find the ratio of the voltages, we can divide both sides of the equation by C:

6V1 = V2

This means that the voltage applied to the second capacitor needs to be 6 times greater than the voltage applied to the first capacitor in order for the charges on both capacitors to become equal.

Therefore, the answer is that the greater voltage should be applied to the second capacitor, and it should be 6 times greater than the voltage applied to the first capacitor.

Answer

To make the charges on the capacitors equal, a greater voltage should be applied to the second capacitor, and it should be 6 times greater than the voltage applied to the first capacitor.

Please let me know if you need any further assistance!