Q. In a circuit with a 9V battery and two resistors of 3 ohms and 6 ohms in series, what is the voltage drop across the 6 ohm resistor?
A.6V
B.3V
C.9V
D.4.5V
Solution
The total resistance is 9 ohms. The current is I = V/R = 9V / 9 ohms = 1 A. The voltage drop across the 6 ohm resistor is V = I * R = 1 A * 6 ohms = 6V.
Q. In a circuit with two loops, if the current in the first loop is 2 A and in the second loop is 3 A, what is the total current entering a junction where these loops meet?
A.1 A
B.5 A
C.6 A
D.2 A
Solution
According to Kirchhoff's current law, the total current entering a junction equals the total current leaving it. Therefore, total current = 2 A + 3 A = 5 A.
Q. In a circuit with two loops, if the current in the first loop is 5 A and the second loop is 3 A, what is the current through a shared resistor of 2 ohms?
A.1 A
B.2 A
C.3 A
D.5 A
Solution
The current through the shared resistor is the difference of the currents in the loops, so 5 A - 3 A = 2 A.
Q. In a circuit with two resistors in parallel, if one resistor is 4Ω and the other is 12Ω, what is the total current flowing through the circuit when connected to a 24V battery?
Q. In a circuit with two resistors in parallel, if one resistor is 6Ω and the other is 3Ω, what is the total current flowing if the voltage across the circuit is 12V?
A.2A
B.4A
C.6A
D.8A
Solution
Total resistance in parallel: 1/Rtotal = 1/6 + 1/3 = 1/2. Rtotal = 2Ω. Total current I = V/R = 12V/2Ω = 6A.
Q. In a circuit with two resistors in parallel, if one resistor is 6Ω and the other is 3Ω, what is the total current flowing through the circuit when connected to a 12V battery?
Q. In a circuit with two resistors in parallel, if one resistor is 6Ω and the other is 3Ω, what is the total current if a voltage of 12V is applied across the combination?
A.2A
B.4A
C.6A
D.8A
Solution
Total resistance in parallel: 1/Rtotal = 1/6 + 1/3 = 1/2. Rtotal = 2Ω. Total current I = V/R = 12V/2Ω = 6A.
Q. In a circuit with two resistors in parallel, if one resistor is 6Ω and the other is 3Ω, what is the total current flowing if the voltage across the parallel combination is 12V?
A.2A
B.4A
C.6A
D.8A
Solution
Total current I = V / Req; Req = 1/(1/6 + 1/3) = 2Ω; I = 12V / 2Ω = 6A.
Q. In a circuit with two resistors in series, if the total voltage across the circuit is 12V and the resistors have values of 4Ω and 6Ω, what is the voltage across the 4Ω resistor?
A.4V
B.6V
C.8V
D.12V
Solution
Using the voltage divider rule, V1 = (R1 / (R1 + R2)) * Vtotal = (4 / (4 + 6)) * 12 = 4.8V.
Q. In a circuit with two resistors in series, if the total voltage across the circuit is 12V and the resistors are 4Ω and 6Ω, what is the voltage across the 4Ω resistor?
A.4V
B.6V
C.8V
D.12V
Solution
Using the voltage divider rule, V1 = (R1 / (R1 + R2)) * Vtotal = (4 / (4 + 6)) * 12 = 4.8V.