2) A DC circuit with a 24 V source has three resistors wired in parallel, with resistances of 70, 100, and 25 22. What is the total current flowing in this circuit? Current =

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**Problem 2: Parallel Resistor Circuit**

A DC circuit with a 24 V power source has three resistors wired in parallel, with resistances of 7 Ω, 10 Ω, and 25 Ω. What is the total current flowing in this circuit?

**Current = __________**

*Explanation (for Educational Purposes):*

To find the total current flowing in a parallel circuit, you first need to calculate the total resistance using the formula for parallel resistors:

\[
\frac{1}{R_{\text{total}}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}
\]

For this problem:

\[
\frac{1}{R_{\text{total}}} = \frac{1}{7} + \frac{1}{10} + \frac{1}{25}
\]

Once you find \( R_{\text{total}} \), use Ohm's Law to find the current:

\[
I = \frac{V}{R_{\text{total}}}
\]

Where \( I \) is the total current and \( V \) is the voltage (24 V). Calculate these values to find the total current through the circuit.
Transcribed Image Text:**Problem 2: Parallel Resistor Circuit** A DC circuit with a 24 V power source has three resistors wired in parallel, with resistances of 7 Ω, 10 Ω, and 25 Ω. What is the total current flowing in this circuit? **Current = __________** *Explanation (for Educational Purposes):* To find the total current flowing in a parallel circuit, you first need to calculate the total resistance using the formula for parallel resistors: \[ \frac{1}{R_{\text{total}}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} \] For this problem: \[ \frac{1}{R_{\text{total}}} = \frac{1}{7} + \frac{1}{10} + \frac{1}{25} \] Once you find \( R_{\text{total}} \), use Ohm's Law to find the current: \[ I = \frac{V}{R_{\text{total}}} \] Where \( I \) is the total current and \( V \) is the voltage (24 V). Calculate these values to find the total current through the circuit.
Expert Solution
Step 1

Given,

Voltage, V=24 V

Resistances,

R1=7 ΩR2=10 ΩR3=25 Ω

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