What is the combined resistance of a 6-ohms resistor which is connected in series with a parallel Arrangement of two resistors each resistance of 2-ohms (a) 7-ohms (b)6- ohms (c)10-ohm (d) 3ohms
To find the combined resistance of the circuit, we first need to determine the equivalent resistance of the parallel arrangement of the two 2-ohm resistors.
1/R_parallel = 1/2 + 1/2
1/R_parallel = 1
R_parallel = 1 ohm
Now we have a series circuit with a 6-ohm resistor and a 1-ohm equivalent resistor:
Total resistance = 6 + 1
Total resistance = 7 ohms
Therefore, the combined resistance of the circuit is 7 ohms, which is option (a).