The total voltage in the circuit is 24 V and the total resistance of the circuit is 27 ohms.
Since the circuit is complex, we can use the following steps to find the total voltage and resistance:
Total voltage:
1. Identify all the voltage sources in the circuit. There is one voltage source in the circuit with a voltage of 24 V.
2. Determine the voltage drop across each resistor. The voltage drop across a resistor is equal to the current flowing through the resistor multiplied by the resistance of the resistor.
3. Sum the voltage drops across all the resistors in the circuit. This will give you the total voltage drop in the circuit.
4. The total voltage in the circuit is equal to the voltage of the voltage source minus the total voltage drop.
Total voltage = 24 V - (Voltage drop across R2 + Voltage drop across R3 + Voltage drop across R4 + Voltage drop across R1 + Voltage drop across R7)
Total resistance:
1. Identify all the resistors in the circuit. There are seven resistors in the circuit.
2. Determine the equivalent resistance of the circuit. For series circuits, the equivalent resistance is equal to the sum of the individual resistances. For parallel circuits, the equivalent resistance is calculated using the following formula:
1/Equivalent resistance = 1/R1 + 1/R2 + ... + 1/Rn
In this circuit, we have a combination of series and parallel circuits. To find the total resistance, we can follow these steps:
Step 1: Calculate the equivalent resistance of the series circuit consisting of R3 and R4.
R3 + R4 = 4 ohms + 4 ohms = 8 ohms
Step 2: Calculate the equivalent resistance of the parallel circuit consisting of R7 and Rb.
1/Equivalent resistance = 1/12 ohms + 1/6 ohms = 1/3 ohms
Equivalent resistance = 3 ohms
Step 3: Calculate the equivalent resistance of the series circuit consisting of R2, R3+R4, R1, and R7+Rb.
R2 + R3+R4 + R1 + R7+Rb = 4 ohms + 8 ohms + 12 ohms + 3 ohms = 27 ohms
Step 4: The total resistance of the circuit is equal to the equivalent resistance of the series circuit in step 3.
Total resistance = 27 ohms
Therefore, the total voltage in the circuit is 24 V and the total resistance of the circuit is 27 ohms.
The probable question may be: "In the diagram below, find the total voltage in the circuit and total resistance of the circuit"