A 3 ohm resistor and a 6 ohm resistor

Asked by maham237 @ 13/01/2021 in Physics viewed by 327 People

A 3-ohm resistor and a 6-ohm resistor are
connected in parallel across a 9-volt battery.
Which statement best compares the potential
difference across each resistor?
(1) The potential difference across the 6-ohm
resistor is the same as the potential
difference across the 3-ohm resistor.
(2) The potential difference across the 6-ohm
resistor is twice as great as the potential
difference across the 3-ohm resistor.
(3) The potential difference across the 6-ohm
resistor is half as great as the potential
difference across the 3-ohm resistor.
(4) The potential difference across the 6-ohm
resistor is four times as great as the potential
difference across the 3-ohm resistor.

Answered by maham237 @ 13/01/2021

Answer: The potential difference across both the resistors is the same.

Explanation :

Given that, two resistors 3 -ohm and 6 ohms are connected in parallel across a 9-volt battery. The equivalent resistance, in this case, is given by :

$\dfrac{1}{R_{eq}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}$

In parallel combination, the current across each resistor divides and the potential difference remains the same.

So, the correct statement is (1) "The potential difference across the 6-ohm resistor is the same as the potential difference across the 3-ohm resistor."

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A 3 ohm resistor and a 6 ohm resistor

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