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

Q. 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 ________

Ans: 10