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 1 amp/sec. Let t denote time in seconds. Answer the following questions. increasing at the rate of 3 volt/sec while I is decreasing at the rate of 5 dV = volt/sec (Simplify your answer.) dt dl b. What is the value of dt? dl dt OA. amp/sec (Simplify your answer.) c. What equation relates to O C. dR dt dR dV dt dt dR dt 1 dV dl +V- I dt dt dl dV =1=+W +VdT dt dl and dt? OB. O D. d. Find the rate at which R is changing when V = 40 volts and 1= 4 amp. Is R increasing or decreasing? R is changing at ohm/sec. (Simplify your answer.) Is R increasing or decreasing? dR dt dR dt 1 dV I'dt V dl dt I dt 1/dV 1 I F R www

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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
1
increasing at the rate of 3 volt/sec while I is decreasing at the rate of amp/sec. Let t denote time in seconds. Answer the following questions.
5
dV
dt
=
dl
dt
dl
b. What is the value of dt?
volt/sec (Simplify your answer.)
OA.
O C.
amp/sec (Simplify your answer.)
c. What equation relates to
dR
dt
dR dV
dt dt
dR
dt
1 dV dl
+V-
I dt
dt
dl
dv
=1+VdT
dt
dl
and dt?
OB.
O D.
d. Find the rate at which R is changing when V = 40 volts and 1= 4 amp. Is R increasing or decreasing?
R is changing at ohm/sec. (Simplify your answer.)
Is R increasing or decreasing?
dR
dt
dR
dt
=
1 dv
I'dt
1 (dV
1
dt
V dl
I dt
F
R
www
Transcribed Image Text: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 1 increasing at the rate of 3 volt/sec while I is decreasing at the rate of amp/sec. Let t denote time in seconds. Answer the following questions. 5 dV dt = dl dt dl b. What is the value of dt? volt/sec (Simplify your answer.) OA. O C. amp/sec (Simplify your answer.) c. What equation relates to dR dt dR dV dt dt dR dt 1 dV dl +V- I dt dt dl dv =1+VdT dt dl and dt? OB. O D. d. Find the rate at which R is changing when V = 40 volts and 1= 4 amp. Is R increasing or decreasing? R is changing at ohm/sec. (Simplify your answer.) Is R increasing or decreasing? dR dt dR dt = 1 dv I'dt 1 (dV 1 dt V dl I dt F R www
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