Question

find the value of i rms​

Answer 1

$\color{red}\huge{\underline{\underline{\bf GIVEN\dag}}}$

• $V = \sf230 \sin(100\pi t)$
• $\sf L(inductance)=0.1 \: H$

$\color{red}\huge{\underline{\underline{\bf SOLUTION\dag}}}$

$V = \sf230 \sin(100\pi t)$

$\sf \purple{compring \: with}$

$V=V_{ \sf max} \sin(ω \sf t)$

$\implies V_{ \sf max} = 230$

$\implies ω = 100\pi$

$\blue{ \boxed{V_{ \sf rms} = \frac{V_{ \sf max} }{ \sqrt{2} } }}$

$\therefore V_{ \sf rms} = \frac{230 }{ \sqrt{2}}$

$\blue{\boxed{\sf X_L=ωL}}$

$\implies \sf X_L=(100\pi)(0.1)$

$\therefore \sf X_L=10\pi$

$\blue{ \boxed{ I_{\sf rms}=\frac{V_{\sf rms}}{ \sf X_{L}}}}$

$\implies I_{\sf rms}=\frac{ \frac{230 }{ \sqrt{2} } }{ 10\pi}$

$\orange{ \therefore I_{\sf rms}=\frac{ 23 }{ \pi\sqrt{2} }}$

HOPE IT HELPS!!

Answer 2

Answer:

i ms = 23/pie root 2

Explanation: