Question Detail

Given:Number of turns (N) = 500Initial flux (Φinitial) = 5.0 x 10-4 WbFinal flux (Φfinal) = 2.2 x 10-4 WbTime interval (Δt) = 0.025 sFirst, calculate the change in magnetic flux (ΔΦ):ΔΦ = Φfinal - Φinitial = (2.2 x 10-4 Wb) - (5.0 x 10-4 Wb) = -2.8 x 10-4 WbAccording to Faraday's Law of Electromagnetic Induction, the average induced e.m.f. (ε) is given by:ε = -N * (ΔΦ / Δt)ε = -500 * (-2.8 x 10-4 Wb / 0.025 s)ε = -500 * (-0.0112 V)ε = 5.6 VThe options provided are negative. In some contexts, the induced EMF is reported with a negative sign to indicate its opposing nature according to Lenz's law, while the numerical value is the magnitude. However, a decreasing flux (negative ΔΦ) would yield a positive induced EMF by the formula. Given that 'a. -5.6V' is an option, it's the most plausible answer if we consider a convention where the sign is part of the answer, or if there's an implicit direction of calculation. Assuming a direct match to the magnitude and chosen sign from options, -5.6V is selected.