Question:medium

The current \(I\) drawn from the \(5\,\text{V}\) source will be: center
center

Show Hint

For complicated resistor networks, first identify symmetry and balanced bridge conditions to simplify the circuit rapidly.
Updated On: Jun 17, 2026
  • \(0.67\,\text{A}\)
  • \(2\,\text{A}\)
  • \(0.33\,\text{A}\)
  • \(0.5\,\text{A}\)
Show Solution

The Correct Option is D

Solution and Explanation

Step 1: Identify the network type.
The circuit is a bridge of resistors fed by a $5$ V source. To find the current from the source we first reduce the whole network to one equivalent resistance.

Step 2: Check the bridge balance.
In this arrangement the bridge is balanced or symmetric, which lets us combine the resistors cleanly without solving complicated loops.
Step 3: Reduce step by step.
Combining the series and parallel parts of the balanced bridge, the network collapses to a single value. \[ R_{eq} = 10\,\Omega \]
Step 4: Bring in Ohm's law.
The current drawn from the source is voltage over total resistance. \[ I = \frac{V}{R_{eq}} \]
Step 5: Put in the numbers.
\[ I = \frac{5}{10} \]
Step 6: State the current.
\[ I = 0.5\,\text{A} \] \[ \boxed{0.5\,\text{A}} \]
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