Question

A 60muf capacitor is connected to a 220v,50hz ac supply . Determine the rms value of current in the circuit

Answer 1

$\huge\rm\underline\purple{Question :-}$

A 60μF capacitor is connected to a 220v,50hz ac supply . Determine the rms value of current in the circuit

$\huge\rm\underline\purple{Answer :-}$

$\green{\underline\bold{Given,}}$

• C = 60μF = 60 × $10\:^-\:^6$ F
• Erms = 110 V
• f = 60 Hz

$\boxed{ \sf \red{ To\: find, }}$

✏ Rms value of current in the circuit = ?

$\orange{\underline\bold{We\:know\:that,}}$

$\boxed{ \sf \blue{ Xc=\frac{1}{ω}}}$

⇒Xc =$\frac{1}{2ΠfC}$

⇒Xc = 44.2 Ω

$\pink{\underline\bold{Now,}}$

$\boxed{ \sf \blue{ Irms=\frac{Erms}{Xc}}}$

⇒Erms =$\frac{110}{44.2}$

⇒Erms = 2.49 A.

$\pink{\underline\bold{ ∴ \:The\:rms\:value\:of\:current\: in\:the\:circuit\:=\:2.49 A.}}$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

Answer 2

Explanation:

your answer is 2.49

hope it help