Four resistors of 6 Ω resistance each are joined as shown in the figure. The equivalent resistance of the combination is: |
8 Ω 10.5 Ω 24 Ω 1.5 Ω |
8 Ω |
The correct answer is Option (1) → 8 Ω Each resistor has value $6\ \Omega$. The circuit shows that the FIRST resistor is in series with a group of THREE resistors that are all connected in parallel with each other (because both ends of these three resistors are joined by wires). So the combination is: • One $6\ \Omega$ resistor in series • Followed by three $6\ \Omega$ resistors in parallel Parallel of three equal resistors: $R_{p} = \frac{6}{3} = 2$ Now add the series resistor: $R_{eq} = 6 + 2$ $R_{eq} = 8$ The equivalent resistance of the combination is $8\ \Omega$. |