Electrical Engineering: Circuit theory MCQ

In the given circuit, the current supplied by the battery, in ampere, is _______.

In the portion of a circuit shown, if the heat generated in 5 Ω resistance is 10 calories per second, then heat generated by the 4 Ω resistance, in calories per second, is _______.

Consider the system with following input-output relation y[n] = (1+(-1)ⁿ )x[n] Where, x[n] is the input and y[n] is the output. The system is 

The voltage across the circuit in the figure, and the current through it, are given by the following expressions:

v(t) = 5 − 10 cos(ωt + 60°)⁡V
i(t) = 5 + X cos(ωt) A

where ω = 100⁡π⁡radian/s. If the average power delivered to the circuit is zero, then the value of X (in Ampere) is _____ (up to 2 decimal places).

A three-phase load is connected to a three-phase balanced supply as shown in the figure. If V an = 100 ∠0º V, V bn = 100 ∠-120 º V and Vcn = 100 ∠-240º  V (angles are considered positive in the anti-clockwise direction), the value of R for zero current in the neutral wire is ___________Ω (up to 2 decimal places).