Voltage and Current Divider Formula: Quiz and Flashcards

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Questions and Answers

What does the Voltage Divider Rule (VDR) state?

The voltage across an element in a series circuit is equal to the resistance of the element divided by the total resistance of the series circuit, multiplied by the total impressed voltage.

How is the voltage across any resistor Ri in a series circuit represented?

The voltage across (Vi) any resistor Ri in a series circuit is equal to the applied voltage (E) across the circuit multiplied by a factor (Ri / R_total).

What must be true for the expression of the voltage division rule to be valid?

The same current must flow through all the resistors for the expression to be valid.

What does the Current Divider Rule (CDR) state?

The current through one of two parallel branches is equal to the resistance of the other branch divided by the sum of the resistances of the two parallel branches, multiplied by the total current entering the two parallel branches. Signup and view all the answers

In a parallel circuit, how is the current through one of the branches represented?

What type of circuit does the Voltage Divider Rule (VDR) apply to?

The Voltage Divider Rule (VDR) applies to series circuits. Signup and view all the answers

What is the current flowing through R2 in the circuit shown in Fig. (1) when E=10V, R1=82Ω, R2=100Ω, and R3=150Ω?

0.05A Signup and view all the answers

When is the Voltage Divider Rule (VDR) used?

VDR is used to calculate the voltage across a specific resistor in a series circuit. Signup and view all the answers

Compare the practical and theoretical results obtained from the experiments.

The practical results may deviate from the theoretical results due to factors such as measurement errors and tolerance in resistor values. Signup and view all the answers

Calculate Vout for the circuit shown in Figure (3), ignoring the internal resistance Rs of the source E.

Vout = E * (R2 / (R1 + R2)) Signup and view all the answers

Determine I1, I2, I3, and I5 using only the current divider formula when I4 = 4A in the circuit shown in Figure (4).

I1 = I4 * (R2 / (R1 + R2)), I2 = I4 * (R1 / (R1 + R2)), I3 = I4, I5 = 0 Signup and view all the answers

What are the steps for using the DC circuit trainer to conduct the experiments for the Voltage Divider Rule (VDR)?

<ol> <li>Connect the circuit as shown in Fig. (1) with specified values for E, R1, R2, and R3. 2. Measure the voltage and current of R1, R2, and R3. 3. Exchange the values of resistors as instructed. 4. Repeat the voltage and current measurements with the new resistor values.</li> </ol> Signup and view all the answers

State the practical significance of the superposition theorem in circuit analysis.

Simplifies finding voltages and currents in circuits with multiple sources, easier than Kirchoff's law equations Signup and view all the answers

Explain the process of applying the superposition theorem to a circuit with multiple sources.

Select one supply, redraw the circuit with other supplies short-circuited, calculate the voltage and current for the first supply, repeat for each supply, and finally add the voltages and currents caused by each supply. Signup and view all the answers

What is the superposition theorem and how is it stated?

In a network of linear resistances with multiple generators, the current at any point is the sum of all the currents if each generator were considered separately with the others replaced by internal resistances. Signup and view all the answers

What is the voltage across the 2.2 kΩ resistor in the given circuit?

Depends on the specific circuit details and cannot be answered without additional information. Signup and view all the answers

Describe the conditions under which the superposition theorem is applicable in circuit analysis.

The circuit must consist of linear resistances and have multiple sources of supply. Signup and view all the answers

Explain how the superposition theorem simplifies the analysis of circuits with multiple sources.

It simplifies by allowing each source to be considered separately and combined at the end. Signup and view all the answers

Study Notes

Voltage Divider Rule (VDR)

States that the voltage across any resistor Ri in a series circuit can be represented as V_i = (R_i / R_total) * V_source
Applies to series circuits only
Requires that the resistors be in series and the voltage source be constant for the expression to be valid
Is used to calculate the voltage across a particular resistor in a series circuit

Current Divider Rule (CDR)

States that the current through a particular branch in a parallel circuit can be represented as I_i = (R_total / R_i) * I_total
Is used to calculate the current through one of the branches in a parallel circuit

Applications and Examples

VDR is used to calculate the voltage across a resistor in a series circuit, as shown in Fig. (1)
VDR is used to calculate V_out in the circuit shown in Fig. (3), ignoring the internal resistance Rs of the source E
CDR is used to calculate I1, I2, I3, and I5 using only the current divider formula when I4 = 4A in the circuit shown in Fig. (4)

Superposition Theorem

States that the total response in a circuit with multiple sources can be found by summing the responses to each source, considering each source individually
Is applicable in circuit analysis when the circuit is linear and the sources are independent
Simplifies the analysis of circuits with multiple sources by allowing the circuit to be analyzed one source at a time
Has practical significance in circuit analysis as it allows for the analysis of complex circuits with multiple sources
Is applied by turning off all sources except one, analyzing the circuit, and then summing the responses to each source

Measurement and Experimentation

The DC circuit trainer can be used to conduct experiments for the Voltage Divider Rule (VDR) by following a set of steps
The superposition theorem can be used to compare the practical and theoretical results obtained from experiments

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Description

Test your knowledge of the Voltage Divider Rule (VDR) and the Current Divider Rule (CDR) in a series circuit. This quiz covers the theory, application, and verification of these rules using a DC circuit training system and digital A.V.O. meter.

Experiment NO.4: Voltage and Current Divider Rules