Current Divider Rule in Parallel Circuits
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Questions and Answers

What is the relationship between current and voltage in a series circuit?

  • Current is the same, voltage is different (correct)
  • Current is different, voltage is the same
  • Both current and voltage are the same
  • Current is different and voltage is different

    • What is the equivalent resistance formula for resistors in parallel?

  • $R_{eq} = R_1 * R_2 * R_3$
  • $R_{eq} = rac{R_1 + R_2 + R_3}{3}$
  • $R_{eq} = R_1 + R_2 + R_3$
  • $R_{eq} = rac{1}{ rac{1}{R_1}+ rac{1}{R_2}+ rac{1}{R_3}}$ (correct)

    • What does Ohm's Law state?

    V = IR

    What is the formula for calculating total current ($I$) in terms of voltage and equivalent resistance ($R_{eq}$)?

    <p>I = V / R_{eq}</p> Signup and view all the answers

    Calculate $I_1$ when $R_1 = 10$, $R_2 = 12$, and total current $I = 10$.

    <p>I_1 = 10 A</p> Signup and view all the answers

    Calculate $I_2$ when $R_1 = 2$, $R_2 = 10$, and total current $I = 10$.

    <p>I_2 = 2 A</p> Signup and view all the answers

    What is the relationship between current and voltage in a series circuit?

    <p>Current is the same, voltage is different.</p> Signup and view all the answers

    What is the relationship between current and voltage in a parallel circuit?

    <p>Current is different, voltage is the same.</p> Signup and view all the answers

    What is the formula for calculating I1 in a current divider circuit?

    <p>I_{1} = \frac{R_{2}}{R_{1} + R_{2}} I</p> Signup and view all the answers

    What is the formula for calculating I2 in a current divider circuit?

    <p>I_{2} = \frac{R_{1}}{R_{1} + R_{2}} I</p> Signup and view all the answers

    Given R1 = 2, R2 = 10, and I = 12 A, what is the value of I1?

    <p>10 A</p> Signup and view all the answers

    Given R1 = 2, R2 = 10, and I = 12 A, what is the value of I2?

    <p>2 A</p> Signup and view all the answers

    Study Notes

    Current Divider Rule

    • The current divider rule is used to calculate the current flowing through each resistor in a parallel circuit.

    • The formula for calculating the current through a single resistor (IxI_xIx​) is: Ix=RtotalRx∗ItotalI_x = \frac{R_{total}}{R_x} * I_{total}Ix​=Rx​Rtotal​​∗Itotal​

    • Where:

      • IxI_xIx​ is the current through the resistor RxR_xRx​.
      • ItotalI_{total}Itotal​ is the total current flowing into the parallel network.
      • RxR_xRx​ is the resistance of the resistor.
      • RtotalR_{total}Rtotal​ is the total resistance of the parallel combination.

    • The formula for calculating the total resistance of the parallel combination is: Rtotal=11R1+1R2+1R3R_{total} = \frac{1}{\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}}Rtotal​=R1​1​+R2​1​+R3​1​1​ or Rtotal=R1R2R3R2R3+R1R3+R1R2R_{total} = \frac{R_1R_2R_3}{R_2R_3+R_1R_3+R_1R_2}Rtotal​=R2​R3​+R1​R3​+R1​R2​R1​R2​R3​​.

    • This rule can be used in any parallel circuit with any number of resistors.

    • The formula for calculating the current flowing through each resistor is derived using Ohm's law (V=I*R).

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    Description

    Test your understanding of the current divider rule used in parallel circuits. This quiz will cover the formulas for calculating current through resistors, total resistance, and the application of Ohm's law. Perfect for physics students looking to solidify their knowledge of electrical circuits.

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