Podcast
Questions and Answers
What is the relationship between current and voltage in a series circuit?
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?
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?
What does Ohm's Law state?
V = IR
What is the formula for calculating total current ($I$) in terms of voltage and equivalent resistance ($R_{eq}$)?
What is the formula for calculating total current ($I$) in terms of voltage and equivalent resistance ($R_{eq}$)?
Calculate $I_1$ when $R_1 = 10$, $R_2 = 12$, and total current $I = 10$.
Calculate $I_1$ when $R_1 = 10$, $R_2 = 12$, and total current $I = 10$.
Calculate $I_2$ when $R_1 = 2$, $R_2 = 10$, and total current $I = 10$.
Calculate $I_2$ when $R_1 = 2$, $R_2 = 10$, and total current $I = 10$.
What is the relationship between current and voltage in a series circuit?
What is the relationship between current and voltage in a series circuit?
What is the relationship between current and voltage in a parallel circuit?
What is the relationship between current and voltage in a parallel circuit?
What is the formula for calculating I1 in a current divider circuit?
What is the formula for calculating I1 in a current divider circuit?
What is the formula for calculating I2 in a current divider circuit?
What is the formula for calculating I2 in a current divider circuit?
Given R1 = 2, R2 = 10, and I = 12 A, what is the value of I1?
Given R1 = 2, R2 = 10, and I = 12 A, what is the value of I1?
Given R1 = 2, R2 = 10, and I = 12 A, what is the value of I2?
Given R1 = 2, R2 = 10, and I = 12 A, what is the value of I2?
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Study Notes
Current Divider Rule
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The current divider rule is used to calculate the current flowing through each resistor in a parallel circuit.
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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​
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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.
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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​​.
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This rule can be used in any parallel circuit with any number of resistors.
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The formula for calculating the current flowing through each resistor is derived using Ohm's law (V=I*R).
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