Current Electricity Charging Discharging Of Capacitors Question 764

Question: The e.m.f. in a thermoelectric circuit with one junction at $ 0{}^\circ C $ and the other at $ t{}^\circ C $ is given by $ E=At-Bt^{2} $ . The neutral temperature is then

[AMU 1995; BCECE 2004]

Options:

A) $ \frac{A}{B} $

B) $ -\frac{A}{2B} $

C) $ -\frac{B}{2A} $

D) $ \frac{A}{2B} $

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Answer:

Correct Answer: D

Solution:

At neutral temperature E is maximum so $ \frac{dE}{dt}=0 $

Therefore $ \frac{d}{dt}(At-Bt^{2})=0 $

Therefore $ A-2Bt=0 $

Therefore $ t=\frac{A}{2B} $