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प्रश्न
In a purely resistive circuit a source of e.m.f. having e = 140 sin (3142 t) is connected across a pure resistor. If value of rms current is 1.98 A, calculate the value of resistance.
संख्यात्मक
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उत्तर
In a purely resistive circuit,
Given: e = 140 sin 3142 t. So, e0 = 140 V
The value of the rms current is given as 1.98 A.
Formula: `e_"rms" = e_0/(sqrt2)`
= `140/sqrt2`
= `140/1.4142`
= 98.99 V
`i_"rms" = e_"rms"/R`
R = `e_"rms"/i_"rms"`
= `98.99/1.98`
= 49.9 ≈ 50 Ω
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