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Physics

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University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 21CQ: What is wrong with the following expressions? How can you correct them? (a) C=AB , (b) C=AB , (c)...

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Question

13.Consider an electric circuit containing a capacitor, resistor, and battery; see Figure 1.2.3. The charge Q(t) on the capacitor satisfies the equation R(dQ/dt)+Q/C=V,where R is the resistance, C is the capacitance, and V is the constant voltage supplied by the battery.

a.If Q(0) = 0, find Q(t) at any time t, and sketch the graph of Q versus t.

b.Find the limiting value Q_L that Q(t) approaches after a long time.

c.Suppose that Q(t₁) = Q_L and that at time t = t₁ the battery is removed and the circuit is closed again. Find Q(t) for t > t₁ and sketch its graph.

figure1.2.3The electric circuit of Problem 13.

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