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Questions and Answers
In a circuit with resistors in parallel, what remains the same across each resistor?
In a circuit with resistors in parallel, what remains the same across each resistor?
- Current
- Resistance
- Voltage (correct)
- Power
If two resistors of equal value are connected in parallel, how does the equivalent resistance relate to the individual resistance?
If two resistors of equal value are connected in parallel, how does the equivalent resistance relate to the individual resistance?
- It is twice the value of one resistor.
- It is equal to the value of one resistor.
- It is one-fourth the value of one resistor.
- It is half the value of one resistor. (correct)
In a series circuit, how is the total resistance calculated?
In a series circuit, how is the total resistance calculated?
- By taking the square root of the sum of each resistance.
- By summing the reciprocals of each resistance.
- By summing the values of each resistance. (correct)
- By averaging the values of all resistors.
What is the primary purpose of calculating equivalent resistance in a circuit?
What is the primary purpose of calculating equivalent resistance in a circuit?
When calculating the total resistance of a parallel and series combination, which part should be solved first?
When calculating the total resistance of a parallel and series combination, which part should be solved first?
What happens to the total current in a circuit when additional resistors are added in parallel?
What happens to the total current in a circuit when additional resistors are added in parallel?
How does the voltage drop across a resistor in a series circuit relate to its resistance value compared to other resistors in the series?
How does the voltage drop across a resistor in a series circuit relate to its resistance value compared to other resistors in the series?
If a 10-ohm resistor and a 20-ohm resistor are connected in series to a 90V source, what is the current flowing through the 10-ohm resistor?
If a 10-ohm resistor and a 20-ohm resistor are connected in series to a 90V source, what is the current flowing through the 10-ohm resistor?
Resistors $R_1$ and $R_2$ are connected in parallel. If $R_1 = 6\Omega$ and the total resistance of the parallel combination is $3\Omega$, what is the value of $R_2$?
Resistors $R_1$ and $R_2$ are connected in parallel. If $R_1 = 6\Omega$ and the total resistance of the parallel combination is $3\Omega$, what is the value of $R_2$?
A circuit has a total resistance of $15\Omega$ and is powered by a 60V source. What is the total current flowing through the circuit?
A circuit has a total resistance of $15\Omega$ and is powered by a 60V source. What is the total current flowing through the circuit?
In a series-parallel circuit, a parallel branch consists of two $8\Omega$ resistors. What is the equivalent resistance of this branch?
In a series-parallel circuit, a parallel branch consists of two $8\Omega$ resistors. What is the equivalent resistance of this branch?
A series circuit has a $6\Omega$ resistor and a $7\Omega$ resistor. If the current through the $6\Omega$ resistor is 4A, what is the voltage drop across the $7\Omega$ resistor?
A series circuit has a $6\Omega$ resistor and a $7\Omega$ resistor. If the current through the $6\Omega$ resistor is 4A, what is the voltage drop across the $7\Omega$ resistor?
If the voltage across a parallel branch is 8V and one of the resistors in the branch is $4\Omega$, what is the current through that resistor?
If the voltage across a parallel branch is 8V and one of the resistors in the branch is $4\Omega$, what is the current through that resistor?
The total current entering a parallel combination of two resistors is 4A. If the current through one resistor is 2A, what is the current through the other resistor?
The total current entering a parallel combination of two resistors is 4A. If the current through one resistor is 2A, what is the current through the other resistor?
Suppose you have two parallel resistors with $R_1 = 4\Omega$ and $R_2 = 4\Omega$ connected in series with $R_3 = 6\Omega$ and $R_4 = 7\Omega$. What is the voltage drop across the combination of $R_3$ and $R_4$ if the total current is 4A?
Suppose you have two parallel resistors with $R_1 = 4\Omega$ and $R_2 = 4\Omega$ connected in series with $R_3 = 6\Omega$ and $R_4 = 7\Omega$. What is the voltage drop across the combination of $R_3$ and $R_4$ if the total current is 4A?
Two resistors, $R_1 = 4\Omega$ and $R_2 = 4\Omega$, are connected in parallel. What is the equivalent resistance of this parallel combination?
Two resistors, $R_1 = 4\Omega$ and $R_2 = 4\Omega$, are connected in parallel. What is the equivalent resistance of this parallel combination?
A circuit consists of a parallel combination of two resistors ($R_1$ and $R_2$) in series with two other resistors ($R_3$ and $R_4$). If the total voltage is 60V and the voltage across the parallel combination is 8V, what is the voltage across the series combination of $R_3$ and $R_4$?
A circuit consists of a parallel combination of two resistors ($R_1$ and $R_2$) in series with two other resistors ($R_3$ and $R_4$). If the total voltage is 60V and the voltage across the parallel combination is 8V, what is the voltage across the series combination of $R_3$ and $R_4$?
If two resistors ($R_3$ and $R_4$) in series have a combined voltage drop of 52V and a current of 4A, what is their combined resistance?
If two resistors ($R_3$ and $R_4$) in series have a combined voltage drop of 52V and a current of 4A, what is their combined resistance?
Resistors $R_1$ and $R_2$ are in parallel, with $R_1 = 4\Omega$ and a voltage $U_{R1} = 8V$. What is the current through $R_1$?
Resistors $R_1$ and $R_2$ are in parallel, with $R_1 = 4\Omega$ and a voltage $U_{R1} = 8V$. What is the current through $R_1$?
In a circuit where a parallel branch ($R_1$ and $R_2$) is in series with resistors $R_3$ and $R_4$, if the total current is 4A, what is the current through the series combination of $R_3$ and $R_4$?
In a circuit where a parallel branch ($R_1$ and $R_2$) is in series with resistors $R_3$ and $R_4$, if the total current is 4A, what is the current through the series combination of $R_3$ and $R_4$?
Flashcards
Equivalent Resistance
Equivalent Resistance
The total opposition to current flow in a circuit.
Parallel Combination
Parallel Combination
Resistors connected side-by-side, providing multiple paths for current.
Series Combination
Series Combination
Resistors connected end-to-end, forming a single path for current.
Ohm's Law Formula
Ohm's Law Formula
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Voltage Drop
Voltage Drop
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Voltage in Parallel
Voltage in Parallel
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Total Circuit Resistance
Total Circuit Resistance
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Total Circuit Voltage
Total Circuit Voltage
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Voltage across R3 and R4
Voltage across R3 and R4
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Voltage across R1 and R2
Voltage across R1 and R2
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Current through R1
Current through R1
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Current through R2
Current through R2
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Current through R3 and R4
Current through R3 and R4
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Study Notes
- To solve an electric circuit, begin by identifying all given values, such as current and resistance.
Equivalent Resistance Calculation
- First calculate the equivalent resistance of the circuit
- For resistors in parallel, like and , the equivalent resistance () is calculated using:
- For and : = ((4)(4))/(4 + 4) = 16/8 = 2Ω
- For resistors in series, like and the equivalent resistance is the sum of individual resistances.
- If is in series with and then: = + + = 2 + 6 + 7 = 15Ω
Voltage Calculation
- Apply Ohm's Law (U = I x ) to find the voltage.
- If the Current is 4A and = 15Ω, then: U = 4 x 15 = 60V
Voltage Drops
- Calculate voltage drops across different parts of the circuit to determine the distribution of voltage.
- For resistors and , calculate: = I x (+ ) = 4 x (6 + 7) = 4 x 13 = 52V
- Calculate the voltage across the parallel branch: = U - = 60 - 52 = 8V
- In a parallel circuit, resistors and have the same voltage: = = 8V
Current
- Use Ohm's Law (I = U/R) to find the current through and :
- = / = 8/4 = 2A
- = / = 8/4 = 2A
- The current through and is the same as the total current:
- = I = 4A
Final Answers
- Total Resistance () = 15Ω
- Total Voltage (U) = 60V
- Voltage across () = 52V
- Voltage across and () = 8V
- Current through () = 2A
- Current through () = 2A
- Current through () = 4A
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