If a DC supply is connected to a capacitor, the capacitor will charge up to the supply voltage. Initially, there is a surge of current as the capacitor begins to store charge, but as it becomes fully charged, the current gradually decreases and eventually stops, leaving the capacitor with a voltage equal to that of the DC supply.

Yes, a capacitor can be connected to a DC supply. When connected, the capacitor will charge to the voltage of the DC supply and then act as an open circuit, preventing any further current from flowing through the circuit.

A capacitor is added to a DC power supply primarily to smooth out voltage fluctuations and filter out noise. It helps in maintaining a stable DC output by storing and releasing charge as needed, which reduces voltage ripple and ensures a more constant and clean power supply to sensitive electronic components.

When a DC voltage is applied to a capacitor, it initially allows current to flow as it starts to charge. The voltage across the capacitor gradually increases until it matches the applied DC voltage. Once fully charged, the capacitor blocks further current flow, effectively acting as an open circuit.

In a DC circuit, a capacitor initially allows a surge of current as it charges up to the supply voltage. After the capacitor is fully charged, it stops conducting current and behaves like an open circuit. This characteristic makes capacitors useful for filtering and smoothing applications in DC circuits, where they can help maintain a steady voltage by mitigating fluctuations.