Question

Как изменится энергия электрического поля конденсатора при увеличении напряжения на нем в 4 раза? Выберите правильное утверждение.

Answer 1

Т.к Е=CU²/2, то при увеличении напряжения в 4 раза Е увеличится в 4² =16 раз.

Answer 2

Changes in the Energy of an Electric Field in a Capacitor

When the voltage across a capacitor is increased, the energy stored in the electric field of the capacitor also increases. To understand this relationship, let's consider the formula for the energy stored in a capacitor:

E = (1/2) * C * V^2

Where: - E is the energy stored in the capacitor's electric field - C is the capacitance of the capacitor - V is the voltage across the capacitor

According to this formula, the energy stored in the electric field of a capacitor is directly proportional to the square of the voltage across the capacitor. This means that if the voltage is increased by a factor of 4, the energy stored in the electric field will increase by a factor of 16 (4^2).

Therefore, the correct statement is:

The energy of the electric field in the capacitor will increase by a factor of 16 when the voltage across it is increased by a factor of 4.

Please note that the formula mentioned above is a simplified representation and assumes ideal conditions. In practice, there may be other factors to consider, such as the presence of dielectric material between the capacitor plates or the effects of resistance and leakage in the circuit.