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Worksheets10.5 Kirchhoff's Laws
Total questions: 20
Worksheet time: 10mins
Who formulated Kirchhoff's circuit laws?
Nikola Tesla
Gustav Robert Kirchhoff
Isaac Newton
Albert Einstein
Kirchhoff's Voltage Law is a form of which fundamental law?
Conservation of Mass
Conservation of Energy
Conservation of Momentum
Conservation of Charge
What is the mathematical expression for Kirchhoff's Voltage Law?
∑P (closed loop) = 0
∑V (closed loop) = ∑IR (closed loop) = 0
∑I (closed loop) = 0
∑Q (closed loop) = 0
In a voltage divider, if two resistors are in series, what remains the same through both resistors?
Voltage
Resistance
Power
Current
What is the formula for Vout in a voltage divider circuit?
Vout = Vin × [R1 + R2]
Vout = Vin × [R2 / (R1 + R2)]
Vout = Vin × [R2 - R1]
Vout = Vin × [R1 / (R1 + R2)]
Kirchhoff's Current Law is a form of which fundamental law?
Conservation of Momentum
Conservation of Charge
Conservation of Mass
Conservation of Energy
What is the mathematical expression for Kirchhoff's Current Law?
∑P (at a node) = 0
∑I (at a node) = 0
∑V (at a node) = 0
∑Q (at a node) = 0
In a current divider, if two resistors are in parallel, what remains the same across both resistors?
Resistance
Power
Current
Voltage
What is the formula for the equivalent resistance of two resistors in parallel?
Req = R1 + R2
Req = (R1 × R2) / (R1 + R2)
Req = R1 - R2
Req = R1 / R2
In the example of a voltage divider, what is the value of R1 to achieve a Vout/Vin ratio of 0.067?
66 ohms
5 ohms
10 ohms
65 ohms
What is the current through R1 in the example of the current divider?
0.29 A
0.43 A
-0.14 A
0.14 A
What is the voltage drop across the 40 ohm resistor R3 in the example?
10 V
11 V
20 V
40 V
What does the negative sign indicate in the current calculation for I1 in the example?
The current is incorrect
The current is positive
The current is zero
The current direction is opposite to the assumed direction
What is the purpose of a voltage divider?
To increase current
To decrease voltage
To divide current
To increase voltage
What is the purpose of a current divider?
To decrease voltage
To divide current
To increase voltage
To increase current
What is the relationship between currents entering and leaving a node according to Kirchhoff's Current Law?
They are equal
They are different
They are negative
They are zero
What is the formula for I1 in a current divider circuit?
I1 = I × [R1 / (R1 + R2)]
I1 = I × [R2 / (R1 + R2)]
I1 = I × (R1 + R2)
I1 = I × (R2 - R1)
What is the formula for I2 in a current divider circuit?
I2 = I × (R1 + R2)
I2 = I × (R2 - R1)
I2 = I × [R2 / (R1 + R2)]
I2 = I × [R1 / (R1 + R2)]
What is the equivalent resistance of two resistors R1 and R2 in parallel?
R1 / R2
R1 - R2
(R1 × R2) / (R1 + R2)
R1 + R2
What is the current I3 through the 40 ohm resistor R3 in the example?
0.14 A
0.67 A
0.43 A
0.29 A
