A) 1
B) \[\frac{\sqrt{\left( 2N+1 \right)\left( N+1 \right)}}{6N}\]
C) \[\frac{\sqrt{\left( 2N+1 \right)\left( N+1 \right)}}{6}\]
D) \[2\sqrt{\frac{2N+1}{6\left( N+1 \right)}}\]
Correct Answer: D
Solution :
[d] \[{{V}_{rms}}=\sqrt{\frac{{{1}^{2}}+{{2}^{2}}+....+{{N}^{2}}}{N}}\] \[=\sqrt{\frac{N\left( N+1 \right)\left( 2N+1 \right)}{6N}}\] \[{{V}_{mean}}=\frac{1+2+....N}{N}=\frac{N\left( N+1 \right)}{2N}\]
You need to login to perform this action.
You will be redirected in
3 sec
