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CBSE Class 12-science Answered

In the closed circuit of resistance(r) 10 Ω, the magnetic flux Φ  varies with time t according to the equation Φ = (6t² - 9t +3) milli weber. Calculate the magnitude of induced current at t = 0.5 second.
Asked by Topperlearning User | 06 Jul, 2015, 04:02: PM
answered-by-expert Expert Answer

begin mathsize 12px style straight ϕ equals open parentheses 6 straight t squared minus 9 straight t plus 3 close parentheses cross times 10 to the power of negative 3 end exponent space wb straight epsilon equals dϕ over dt equals fraction numerator straight d open parentheses 6 straight t squared minus 9 straight t plus 3 close parentheses cross times 10 to the power of negative 3 end exponent over denominator dt end fraction equals open parentheses negative 12 straight t plus 9 close parentheses cross times 10 to the power of negative 3 end exponent at space straight t equals 0.5 space straight s straight epsilon equals open parentheses negative 12 cross times 0.5 plus 9 close parentheses cross times 10 to the power of negative 3 end exponent equals 3 cross times 10 to the power of negative 3 end exponent space straight V straight i equals straight epsilon over straight r equals fraction numerator 3 cross times 10 to the power of negative 3 end exponent space over denominator 10 end fraction equals 3 cross times 10 to the power of negative 4 end exponent space straight A end style

Answered by | 06 Jul, 2015, 06:02: PM

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