An AC is given by equation I=I1 cos ω t+I2 sin ω t. The r.m.s value of current is given by

Question

An AC is given by equation I=I1 cos ω t+I2 sin ω t. The r.m.s value of current is given by (A) (I1+I2/2) (B) ((I1+I2)2/√2) (C) (1/√2) √I12+I22 (D) (I12+I22/2)

Tardigrade Admin · Accepted Answer

I rms =( I 0/√2) Here I 0=√ I 12+ I 22

Q. An $A C$ is given by equation $I = I_{1} cos ω t + I_{2} sin ω t$ . The r.m.s value of current is given by

$\frac{I _{1} + I _{2}}{2}$

$\frac{( I _{1} + I _{2} ) ^{2}}{2}$

$\frac{1}{2} I_{1}^{2} + I_{2}^{2}$

$\frac{I _{1}^{2} + I _{2}^{2}}{2}$

$I_{r m s} = \frac{I _{0}}{2}$
Here $I_{0} = I_{1}^{2} + I_{2}^{2}$

Q. An AC is given by equation I=I1​cosωt+I2​sinωt. The r.m.s value of current is given by

2I1​+I2​​

2​(I1​+I2​)2​

2​1​I12​+I22​​

2I12​+I22​​

Irms​=2​I0​​ Here I0​=I12​+I22​​

Q. An $A C$ is given by equation $I = I_{1} cos ω t + I_{2} sin ω t$ . The r.m.s value of current is given by

$\frac{I _{1} + I _{2}}{2}$

$\frac{( I _{1} + I _{2} ) ^{2}}{2}$

$\frac{1}{2} I_{1}^{2} + I_{2}^{2}$

$\frac{I _{1}^{2} + I _{2}^{2}}{2}$

$I_{r m s} = \frac{I _{0}}{2}$
Here $I_{0} = I_{1}^{2} + I_{2}^{2}$