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Current Divider Rule in Parallel Circuits

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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 ($R_{eq}$)?

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

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

I_1 = 10 A Signup and view all the answers

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

I_2 = 2 A Signup and view all the answers

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

Current is the same, voltage is different. Signup and view all the answers

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

Current is different, voltage is the same. Signup and view all the answers

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

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

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

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

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

10 A Signup and view all the answers

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

2 A 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=RxRtotal∗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=R11+R21+R311 or Rtotal=R1R2R3R2R3+R1R3+R1R2R_{total} = \frac{R_1R_2R_3}{R_2R_3+R_1R_3+R_1R_2}Rtotal=R2R3+R1R3+R1R2R1R2R3.
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.