Question

In an electric circuit carrying current I, a 2 Ω resistor is replaced by an 8 Ω resistor without changing the connected (ideal) battery. Then ______.

विकल्प

• current becomes `I/4` and potential difference `V/4`.

• current becomes `I/4` and potential difference remains V.

• current becomes 4I and potential difference remains V.

• current becomes 4I and potential difference `V/4`.

Answer 1

In an electric circuit carrying current I, a 2 Ω resistor is replaced by an 8 Ω resistor without changing the connected (ideal) battery. Then `bbunderline("current becomes" I/4 "and potential difference remains V")`.

Explanation:

Since the battery is ideal and unchanged, the potential difference (V) across the circuit remains constant. According to Ohm’s Law (I = V/R), current is inversely proportional to resistance; because the resistance increased four times (from 2 Ω to 8 Ω), the current decreases to 1/4 of its original value.