In this problem, a circuit with number of resistors connected in series and parallel connection with a supply DC voltage is shown in the figure. The supply voltage of, Vsupply =120 V, resistances, R1=100O, R2 = 200, R3=300 and R4= 400, R6=190 (R5 is not connected). What is the value of the total current of the circuit in amps? 100

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In this problem, a circuit with a number of resistors connected in series and parallel connection with a supply DC voltage is shown in the figure. The supply voltage of, \( V_{\text{Supply}} = 120 \, \text{V} \), resistances, \( R_1 = 10\Omega \), \( R_2 = 20\Omega \), \( R_3 = 30\Omega \), and \( R_4 = 40\Omega \), \( R_6 = 19\Omega \) (\( R_5 \) is not connected). What is the value of the total current of the circuit in amps?

### Diagram Explanation:

The diagram depicts a circuit configuration with:
- A voltage supply labeled as \( 120 \, \text{V} \).
- Various resistors labeled with resistances:
  - \( R_1: 10\Omega \)
  - \( R_2: 20\Omega \)
  - \( R_3: 30\Omega \)
  - \( R_4: 40\Omega \)
  - \( R_6: 19\Omega \)

Note: The resistor \( R_5 \) is indicated, but it is stated to be not connected, therefore it does not impact the circuit’s current or resistance calculations.

The circuit displays resistors arranged in a combination of series and parallel configurations, affecting the total resistance and current calculation.

### Calculation:

To calculate the total current, we need to determine the equivalent resistance of the circuit and use Ohm's Law:

\[ I_{\text{total}} = \frac{V_{\text{Supply}}}{R_{\text{equivalent}}} \]

1. Identify series and parallel groups of resistors.
2. Calculate the equivalent resistance for each group.
3. Sum the resistances to find the total resistance.
4. Use the voltage supply value to find the total current.
Transcribed Image Text:In this problem, a circuit with a number of resistors connected in series and parallel connection with a supply DC voltage is shown in the figure. The supply voltage of, \( V_{\text{Supply}} = 120 \, \text{V} \), resistances, \( R_1 = 10\Omega \), \( R_2 = 20\Omega \), \( R_3 = 30\Omega \), and \( R_4 = 40\Omega \), \( R_6 = 19\Omega \) (\( R_5 \) is not connected). What is the value of the total current of the circuit in amps? ### Diagram Explanation: The diagram depicts a circuit configuration with: - A voltage supply labeled as \( 120 \, \text{V} \). - Various resistors labeled with resistances: - \( R_1: 10\Omega \) - \( R_2: 20\Omega \) - \( R_3: 30\Omega \) - \( R_4: 40\Omega \) - \( R_6: 19\Omega \) Note: The resistor \( R_5 \) is indicated, but it is stated to be not connected, therefore it does not impact the circuit’s current or resistance calculations. The circuit displays resistors arranged in a combination of series and parallel configurations, affecting the total resistance and current calculation. ### Calculation: To calculate the total current, we need to determine the equivalent resistance of the circuit and use Ohm's Law: \[ I_{\text{total}} = \frac{V_{\text{Supply}}}{R_{\text{equivalent}}} \] 1. Identify series and parallel groups of resistors. 2. Calculate the equivalent resistance for each group. 3. Sum the resistances to find the total resistance. 4. Use the voltage supply value to find the total current.
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