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The figure shows a circuit containing an electromotive force, a capacitor with a capacitance of C...

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Advance Math

The figure shows a circuit containing an electromotive force, acapacitor with a capacitance of C farads (F), and aresistor with a resistance of R ohms (?). The voltage dropacross the capacitor is Q/C, where Q isthe charge (in coulombs, C), so in this case Kirchhoff's Lawgives

RI + Q/C =E(t)

But I = dQ/dt, so we have

R(dQ/dt) + 1/C (Q) = E(t)

Suppose the resistance is 10 ?, the capacitance is 0.05 F, and abattery gives a constant voltage of 60 V.

If the initial charge is Q(0) = 0 C, use Euler's methodwith step size 0.1 to estimate the charge, Q after half asecond. (Round your answer to two decimal places.)
Q(0.5) = ???

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