Question

When different resistors are connected in parallel across an ideal battery, we can be certain that: a) their equivalent resistance is equal to the average of the individual resistances. b) the potential difference across each is the same. c) the power dissipated in each is the same. d) the same current flows in each one. e) their equivalent resistance is greater than the resistance of any one of the individual resistances.

Answer 1

Answer:

b) the potential difference across each is the same.

Explanation:

When resistors are connected in parallel with each other

then the terminals of all the resistors will connected across the terminals of the battery

So we know the potential difference of the battery is same across all the resistors

So we can say that the equivalent resistance of all the resistance is

$\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}$

so its not the mean of all resistors

also we know that the resistance are all different so power across each resistance is different given as

$P = \frac{V^2}{R}$

also current in each resistance is also different and given by

$i = \frac{V}{R}$

so correct answer will be

b) the potential difference across each is the same.