In the circuit source voltage is 5v and capacitor is 4v find voltage across resistor

General
1

in the circuit source voltage is 5v and capacitor is 4v find voltage across resistor

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In the circuit source voltage is 5V and capacitor is 4V. Find voltage across resistor.

Answer:

To find the voltage across the resistor in this circuit, we’ll use Kirchhoff’s Voltage Law, which states that the sum of all the voltages around a closed loop in a circuit is equal to zero.

Let’s break it down step by step:

  1. Identify Voltages in the Circuit:

    • The source voltage (V_{\text{source}}) is given as 5V.
    • The voltage across the capacitor (V_{\text{capacitor}}) is 4V.

  2. Apply Kirchhoff’s Voltage Law:

    • The law states:
      V_{\text{source}} = V_{\text{capacitor}} + V_{\text{resistor}}
    • We need to find V_{\text{resistor}}, the voltage across the resistor.

  3. Solve for the Voltage Across the Resistor:

    • Rearranging the equation gives:
      V_{\text{resistor}} = V_{\text{source}} - V_{\text{capacitor}}
    • Substituting the known values:
      V_{\text{resistor}} = 5\,\text{V} - 4\,\text{V} = 1\,\text{V}

Summary: The voltage across the resistor is 1V. This is calculated using Kirchhoff’s Voltage Law by subtracting the voltage across the capacitor from the source voltage.