Question

In parallel connection, voltage across each resistor is .

• A. Different
• B. Same
• C. Zero
• D. Double

Hint:

Use this mnemonic: ``Parallel = Same Voltage, Series = Same Current.''
In parallel: $V_1 = V_2 = V_3 = V_{\text{source}}$, but $I_1 \neq I_2 \neq I_3$ in general.
In series: $I_1 = I_2 = I_3$, but $V_1 + V_2 + V_3 = V_{\text{source}}$.
This is because in parallel, all components connect to the same two nodes.

Answer 1

The Correct Option is B

Step 1: Understand parallel connection.
In a parallel circuit, all the components are joined between the same two points, or nodes, of the circuit. This is the key feature of being in parallel.

Step 2: Recall what voltage means.
Voltage across a component is the difference in electric potential between its two ends. It depends only on the two points it is connected between.

Step 3: Apply this to parallel resistors.
Since every resistor in parallel shares the very same two nodes, each one has the same pair of end potentials.

Step 4: Conclude about the voltage.
Because the end points are identical for all of them, the potential difference across each resistor must be equal.

Step 5: Compare with the options.
It is not different, not zero, and not double. The voltage is simply the same across each parallel resistor.

Step 6: State the answer.
So in a parallel connection the voltage across each resistor is the same. Therefore \[ \boxed{\text{Same}} \]