Find the power delivered to the load resistance using P = I2R, with I given by I = e m f/R + r (Use the following as necessary: e m f and R.): Solve for R (Use the following as necessary: r.): Finalize To check this result, let's plot P versus R as in figure (b). What does Equation (1) show for the maximum value of the power? (Use the following as necessary:  and r.) At the condition for maximum transfer in the example (from power supply to the load resistor), what is the efficiency of the circuit? (Enter your answer as a decimal number.) With R = 2r, what is the efficiency? (Enter your answer as a decimal number.)

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Find the power delivered to the load resistance using P = I2R, with I given by
I = e m f/R + r
(Use the following as necessary: e m f and R.):

Solve for R (Use the following as necessary: r.):

Finalize To check this result, let's plot P versus R as in figure (b). What does Equation (1) show for the maximum value of the power? (Use the following as necessary:  and r.)

At the condition for maximum transfer in the example (from power supply to the load resistor), what is the efficiency of the circuit? (Enter your answer as a decimal number.)

With R = 2r, what is the efficiency? (Enter your answer as a decimal number.)
Find the power delivered to the load resistance using P = I²R, with I given by I =
(Use the following as necessary: E and R.):
R + r
(emf)²R
(1)
P = 1?R =
(R + r)2
Differentiate the power with respect to the load resistance R and set the derivative equal to zero to maximize the power (Use the following as necessary: E, R, and r. Do not
simplify your answer completely.):
d[ E?R
dR L (R + r)2
dP
d
(E?R(R + r)-2]
dR
= 0
dR
[8?(R + r)-2] + [E?R(-2)(R + r)-³]
= 0
re? – le?R
E?(R + r)
(R + r)³
28?R
= 0
(R + r)3
(R + r)3
Solve for R (Use the following as necessary: r.):
R =
Finalize To check this result, let's plot P versus R as in figure (b). What does Equation (1) show for the maximum value of the power? (Use the following as necessary: E
and r.)
P.
max
EXERCISE
Hint
(a) At the condition for maximum transfer in the example (from power supply to the load resistor), what is the efficiency of the circuit? (Enter your answer as a decimal
number.)
e =
(b) With R = 2r, what is the efficiency? (Enter your answer as a decimal number.)
e =
Transcribed Image Text:Find the power delivered to the load resistance using P = I²R, with I given by I = (Use the following as necessary: E and R.): R + r (emf)²R (1) P = 1?R = (R + r)2 Differentiate the power with respect to the load resistance R and set the derivative equal to zero to maximize the power (Use the following as necessary: E, R, and r. Do not simplify your answer completely.): d[ E?R dR L (R + r)2 dP d (E?R(R + r)-2] dR = 0 dR [8?(R + r)-2] + [E?R(-2)(R + r)-³] = 0 re? – le?R E?(R + r) (R + r)³ 28?R = 0 (R + r)3 (R + r)3 Solve for R (Use the following as necessary: r.): R = Finalize To check this result, let's plot P versus R as in figure (b). What does Equation (1) show for the maximum value of the power? (Use the following as necessary: E and r.) P. max EXERCISE Hint (a) At the condition for maximum transfer in the example (from power supply to the load resistor), what is the efficiency of the circuit? (Enter your answer as a decimal number.) e = (b) With R = 2r, what is the efficiency? (Enter your answer as a decimal number.) e =
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