A current i = 10 sin  is produced when a voltage V = 30 sin 300 t is applied to a circuit. The estimated value of impedance is : 

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  1. 1 Ω
  2. 30 Ω
  3. 10 Ω
  4. 3 Ω

Answer (Detailed Solution Below)

Option 4 : 3 Ω
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Detailed Solution

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concept:

Impedance(Z) is given as:Z=

v(t)= Vsin(wt+)

i(t)=Im sin(wt+)

it is also written as:

Z=

calculation:

v(t) = 30 sin 300 t = 30∠0º

i(t) = 10 sin  = 10∠-67.5º

z= 

z= 3∠ 67.5º

so correct option is 4.

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