Calculate the correct answer below:
If in figure, \(R_{1}\) \(=\) \(5\) , \(R_{2}\) \(=\) \(10\) , \(R_{3}\) \(=\) \(1\) , \(R_{4}\) \(=\) \(20\) , \(R_{5}\) \(=\) \(20\) , and a \(12\ V\) battery is connected to the arrangement.
Calculate
a. the total resistance in the circuit, and
b. the total current flowing in the circuit.
b. the total current flowing in the circuit.
Circuit diagram
Suppose we replace the parallel resistors \(R_{1}\) and \(R_{2}\) by an equivalent resistor of resistance, \(R'\), similarly we replace the parallel resistors \(R_{3}\), \(R_{4}\) and \(R_{5}\) by an equivalent single resistor of resistance \(R"\). Then,
Similarly,
Thus, the total resistance is
By Ohm's law, the current formula is
The current flowing in the circuit is \(A\).
[Note: Enter the answer up to three decimal places by rounding off the value]