in a circuit, a 10 resistor is connected in series to a parallel group containing a 60 resistor and a 5 resistor. what is the total resistance in this circuit?
The 60 and the 5 in parallel have an equivalent resistance of 4.615 ohms. (rounded). The 10 in series makes it 14.615...
60 ohm and 5 ohm resistors are in parallel and their parallel combination is given as
\(R_{parallel}\) = Product of resistances / (Sum of resistance)
\(R_{parallel}\) = 60 x 5 /(60 + 5)
\(R_{parallel}\) = 4.62 ohm
The parallel combination of resistances "\(R_{parallel}\) " and 10 ohm resistor are in series and their equivalent resistance is given as
\(R_{total}\) = \(R_{parallel}\) + 10
\(R_{total}\) = 4.62 + 10
\(R_{total}\) = 14.62 ohm