The above circuit consists of resistors and a voltage source. If voltage source is given as \( V = 16 \text{ V} \) and the resistances are given as \( R_1 = 2 \Omega \) and \( R_2 = 4 \Omega,\) what is the current passing through the resistor \( R_1?\)

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations,
examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Your answer seems reasonable.
Find out if you're right!

Consider the circuit shown in the figure above. The voltages and currents are \[ v_2 = -2 \text{ V}, v_3 = 8 \text{ V}, v_6= 12 \text{ V}, i_3 = i_4 = i_5 = 4 \text{ A}. \] Determine the values of the voltage across the circuit element \( E. \)

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations,
examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Your answer seems reasonable.
Find out if you're right!

The above circuit consists of resistors and voltage sources. The voltages are given as \( V_1 = 32 \text{ V} \) and \( V_2 = 16 \text{ V}, \) and the resistances are given as \( R_1 = 2 \Omega, R_2 = 4 \Omega \) and \( R_3 = 6 \Omega. \) What is the voltage across the resistor \( R_3?\)

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations,
examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Your answer seems reasonable.
Find out if you're right!

In the above circuit, the voltage source gives \( V = 7 \text{ V}. \) When the resistance is given by \( R = 2 \Omega, \) what is the voltage \(V_R\) across the resistor?

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations,
examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Your answer seems reasonable.
Find out if you're right!

The above circuit consists of resistors and voltage sources. The voltage sources are given as \( V_1 = 90 \text{ V} \) and \( V_2 = 18 \text{ V}, \) and the resistances are given as \( R_1 = 3 \Omega, R_2 = 6 \Omega \) and \( R_3 = 9 \Omega. \) What is the current flow through the resistor \( R_3?\)

Assume that the ground is at the node under the voltage sources.

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations,
examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Your answer seems reasonable.
Find out if you're right!