![. In the circuit shown, if ๐ฃ(๐ก) = 2 sin(1000 ๐ก) volts, ๐
= 1 kฮฉ and ๐ถ = 1 ๐F, then the steady-state current ๐(๐ก), in milliamperes (mA), is](https://www.gkseries.com/blog/wp-content/uploads/2023/08/In-the-circuit-shown-if-๐ฃ๐ก-2-sin1000-๐ก-volts-๐
-1-kฮฉ-and-๐ถ-1-๐F-then-the-steady-state-current-๐๐ก-in-milliamperes-mA-is.jpg)
Q. In the circuit shown, if ๐ฃ(๐ก) = 2 sin(1000 ๐ก) volts, ๐ = 1 kฮฉ and ๐ถ = 1 ๐F, then the steady-state current ๐(๐ก), in milliamperes (mA), is
![](https://www.gkseries.com/blog/wp-content/uploads/2023/08/Screenshot-528.png)
(A) sin(1000 ๐ก) + cos(1000 ๐ก) | (B) 2 sin(1000 ๐ก) + 2 cos(1000 ๐ก) |
(C) 3 sin(1000 ๐ก) + cos(1000 ๐ก) | (D) sin(1000 ๐ก) + 3 cos(1000 ๐ก) |
Ans: 3 sin(1000 ๐ก) + cos(1000 ๐ก)
Solution:
![](https://www.gkseries.com/blog/wp-content/uploads/2023/08/if-v-t-2-sin-1000t-volts-r-1-k-omega-2023-08-05-13_06_44-228x1024.png)