Question

An



a.C source of voltage v=100 sin πt is connected to a resistor of resistance 20 ω. The rms value of the current through the resistor is

Answer 1

Answer:

Explanation:

Hey,

Solution of your query is as below

=> Here, source of voltage v=100 sin πt is connected to a resistor of resistance 20 ω.  

Frequency of the source :

∴ V = 100 sin πt  

therefore, ω = 100  π

f = ω/2π  

= 100 π/2  π

= f = 50 Hz

=> rms value of the current :

I_rms = V_rms / R = V₀/√2 / R

= 1/ 20*√2

= 1 /20*1.414  (because √2 = 1.414)

= 1 / 28.28

I_rms = 0.035 A

Thus, the rms value of the current through the resistor is 0.035 A.