Which of the following is false about three unequal resistances connected in parallel?

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  1. Voltage across each branch is same.
  2. Reciprocal of the net resistance of the entire circuit equals the sum of reciprocals of the individual resistances.
  3. The sum of the branch currents is equal to the total current supplied by the battery.
  4. Current in each branch is equal.

Answer (Detailed Solution Below)

Option 4 : Current in each branch is equal.
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Detailed Solution

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When three unequal resistances connected in parallel:

  • The voltage across each branch is the same
  • Reciprocal of the net resistance of the entire circuit equals the sum of reciprocals of the individual resistances.
  • The sum of the branch currents is equal to the total current supplied by the battery

Example: From the current division rule,

RRB JE EE 10 20Q Question Bank 1(Hindi) images Q14

\({I_1} = \frac{{I{R_2}}}{{{R_1} + {R_2}}} = 16 \times \left( {\frac{{12}}{{20}}} \right) = 9.6\;A\)

\({I_2} = \frac{{I{R_1}}}{{{R_1} + {R_2}}} = 16 \times \left( {\frac{8}{{20}}} \right) = 6.4\;A\)

Current in each branch is not equal

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