The voltage V (volts), current I (amperes), and resistance R (ohms) of an electric circuit like the
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The voltage V (volts), current I (amperes), and resistance R (ohms) of an electric circuit like the one shown here are related by the equation V = IR. Suppose that V is increasing at the rate of 1 volt/sec while I is decreasing at the rate of 1/3 amp/sec. Let t denote time in seconds.
a. What is the value of dV/dt?
b. What is the value of dI/dt?
c. What equation relates dR/dt to dV/dt and dI/dt?
d. Find the rate at which R is changing when V = 12 volts and I = 2 amps. Is R increasing, or decreasing?
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ANSWER a The rate of change of voltage with respect to time is dVdt 1 voltsec b The ...View the full answer
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Related Book For 
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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