The magnetic flux linked with the coil (in Weber) is given by theequation – Փ = 5t2 + 3t + 16 The induced EMF in the coil at time, t=4 will be-
(i) -27 V
(ii) -43 V
(iii) -108 V
(iv) 210 V
(ii) -43 V
Explanation:
The magnetic flux linked with the coil (in Weber) is given by theequation – Փ = 5t2 + 3t + 16 The induced EMF in the coil at time, t=4 will be 43 V .
= `\phi`=`"5t"^{2}+"3t"+16`
= `|"e"|`=`\frac{"d"\phi}{"dt"}`
= `\frac{"d"}{"dt"}``["5t"^{2}+"3t"+16]`
= 10t + 3
= `|"e"|_{"t"=4}`= 10(4)+3 = 43V
= e = -43 Volts
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