If an ac circuit is purely resistive in nature, what law can you apply exactly as in a dc circuit?

In a purely resistive AC circuit, the behavior of current and voltage can be analyzed using Ohm's Law just as in a DC circuit. Ohm's Law states that the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance of the conductor. In mathematical terms, this is expressed as ( I = \frac{V}{R} ), where ( I ) is the current, ( V ) is the voltage, and ( R ) is the resistance.

In a purely resistive circuit—whether alternating current (AC) or direct current (DC)—the resistance remains constant and does not change with the direction of current flow. This allows Ohm's Law to be applied directly. In such a scenario, the phase angle between the current and voltage is zero, meaning they rise and fall together, aligning with the simplicity of calculations in resistive circuits.

Other laws, like Kirchhoff’s Law, apply to both AC and DC circuits but involve more complex relationships because they deal with multiple components and loops in the circuit. Faraday's Law pertains to electromagnetic induction, and Newton's Law relates to motion and forces, neither of which are applicable in this context of