4 Kirchhoff’s Laws and Circuit Analysis Online Quiz Questions

For a network made only of ideal voltage sources and resistors, the circuit equations formed using Kirchhoff’s laws and Ohm’s law are linear.

Which Kirchhoff law states that the signed voltage changes around any closed loop sum to zero?

You trace a loop across a resistor opposite to its assumed current direction. What signed potential change should you write for that resistor?

When setting up equations for a circuit, which actions are valid? Select all that apply.

For a network with $6$ nodes, at most $5$ node equations are independent.

While tracing a loop, you cross an ideal voltage source from its positive terminal to its negative terminal. What signed potential change should you write?

At a node, currents of $2.4$ A and $1.7$ A enter. Currents of $2.9$ A and $I$ leave. What is $I$ in amperes?

A branch current solves to $-0.8$ A when its reference direction was chosen arbitrarily. Which interpretations are valid? Select all that apply.

A $15$ V source drives a current $I$ through series resistors of $2\,\Omega$ and $3\,\Omega$. If you trace the loop in the direction of the current, which KVL equation is correct?

A $10$ V source has its negative terminal at $0$ V. Its positive terminal connects through a $5\,\Omega$ resistor to a junction. From that junction, a $10\,\Omega$ resistor and a separate $5\,\Omega$ resistor each connect to the source’s negative terminal. Use KCL and Ohm’s law to find the junction voltage and the current through each resistor. Show your equations and check KCL.

A $15$ V ideal source drives current $I$ through two series resistors of $2\,\Omega$ and $3\,\Omega$. Which equation follows from KVL when you trace the loop in the direction of the current?

In a steady circuit, Kirchhoff’s current law at an ordinary junction reflects conservation of charge: charge does not accumulate there.

At a circuit node, currents of $1.2\,\text{A}$ and $0.8\,\text{A}$ enter, while $0.5\,\text{A}$ and an unknown current leave. What is the unknown outgoing current?

Two component terminals are connected directly by ideal wire, with no circuit element between them. How should those terminals be treated when labeling circuit nodes?

A $15\,\text{V}$ source drives a series circuit containing $4\,\Omega$ and $6\,\Omega$ resistors. What is the circuit current?

While tracing a loop, you cross a resistor opposite to its assumed current direction. What signed potential change should you write for that resistor?

In a KVL loop, what signed voltage change corresponds to traversing an ideal source from its positive terminal to its negative terminal?

When a solved branch current is negative, what does that indicate about the actual current relative to the direction assumed in the equations?