Question

When using the superposition theorem on a two-source network, if the current produced by one source is in one direction, while that produced by the other source is in the opposite direction through the same resistor Select one: A. a mistake in the sign of the result occurred. B. the resulting current is the difference of the two and has the direction of the larger current. C. all voltage sources were not properly converted to current sources. D. the absolute values of the two currents add algebraically, and the direction is the same as the direction of the larger current.

Answer 1

Answer: B. The resulting current is the difference of the two and has the direction of the larger current.

Explanation: Superposition Theorem states that the result in a particular branch of a linear circuit when a variety of sources are acting at the same time equals the sum of the response of each particular source acting at a time, i.e., if sources are acting on a line circuit, the resulting current in any branch is the sum of all the currents produced if each source is producing it by itself.

To solve by this method:

1) Find current in a particular branch considering one only independent source and deactivating the others;

2) Repeat the first step for all the sources in the circuit;

3) Add all the results: If the current obtained is in the same direction, add them; If it's in the opposite direction, subtract them and obtain the net current;

Therefore, when using superposition, if one current is in one direction and the other produced by other source is in the opposite direction, the net current is the difference between the two abd has the direction of the larger current.