Parallel-Series Circuits Refer to the circuit shown in Figure 8–22 to solve the f...

The following is the given information:

The total current is,

The given resistor values in the above parallel-series circuit are,

In the above circuit, the resistors are in parallel. Hence its equivalent resistance is,

The following is the modified circuit diagram of above circuit:

In the above circuit, the series combination of resistors is in parallel with resistor . Hence its equivalent resistance is,

Therefore, the total resistance in the given circuit is,

The following is the modified circuit diagram of above circuit:

From the above circuit, the source voltage, is given by,

Therefore, the source voltage, is,

The following is the parallel-series circuit with designated branch currents and voltage drops across each resistor:

From the above circuit, the current, is given by,

Therefore, the current, in the given circuit is,

From the above circuit, the current, is given by,

Therefore, the current, in the given circuit is,

By applying current divider formula, the current through resistor, is given by,

Therefore, the current, in the given circuit is,

By applying current divider formula, the current through resistor, is given by,

Therefore, the current, in the given circuit is,

Therefore, the current through each of the resistor in the given circuit is,

The voltage across resistor, is given by,

Therefore, the voltage across resistor, is,

The voltage across resistor, is given by,

Therefore, the voltage across resistor, is,

The voltage across resistor, is given by,

Therefore, the voltage across resistor, is,

The voltage across resistor, is given by,

Therefore, the voltage across resistor, is,

Therefore, the voltage drop across each of the resistor in the given circuit is,