When different resistors are connected in parallel across an ideal battery,we can be certain that
A)the same current flows in each one.
B)the potential difference across each is the same.
C)the power dissipated in each is the same.
D)their equivalent resistance is greater than the resistance of any one of the individual resistances.
E)their equivalent resistance is equal to the average of the individual resistances.

Question

Quizplus · Accepted Answer

According to Ohm's Law, the potential difference (voltage) across each resistor in a parallel circuit is the same as the voltage of the battery. Therefore, choice B is correct. The current flowing through each resistor will depend on the individual resistance values, so choice A is incorrect. The power dissipated in each resistor will depend on the individual resistance values and the current flowing through them, so choice C is also incorrect. The equivalent resistance of resistors in parallel is always less than the resistance of any one of the individual resistances, so choice D is incorrect. Choice E is also incorrect as it suggests that the equivalent resistance is a simple average value, which is not the case for resistors in parallel.

When Different Resistors Are Connected in Parallel Across an Ideal