NEETPhysicsCurrent Electricity
Six identical resistors, each of resistance R , are connected in series to a battery of emf E and internal resistance r = R . The steady current drawn from the battery is I_s . When these six resistors are connected in parallel to the same battery, the current drawn becomes I_p . The ratio I_p I_s is:
Options
- A6
- B36
- C1 6
- D7
Correct answer
A. 6
Step-by-step solution
When the 6 resistors are connected in series, their equivalent external resistance is R_s = 6R . The total resistance of the circuit is R_s + r = 6R + R = 7R . The current drawn in series is I_s = E 7R . When the 6 resistors are connected in parallel, their equivalent external resistance is R_p = R 6 . The total resistance of the circuit is R_p + r = R 6 + R = 7R 6 . The current drawn in parallel is I_p = E 7R 6 = 6E 7R . The ratio of the currents is: I_p I_s = 6E 7R E 7R = 6 . Answer: 6