The power loss in a conductor can be expressed mathematically as ? a. b. \( P=\frac{E^{2}}{R} \) c. \( P=I^{2} \times R \) d. \( \quad P=\frac{I^{2}}{R} \)
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Power loss due to resistance in a conductor is given by the formula \( P = I^2 \times R \), where \( P \) is the power loss, \( I \) is the current, and \( R \) is the resistance. Show more…
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An electric power plant can produce electricity at a fixed power $P$, but the plant operator is free to choose the voltage $V$ at which it is produced. This electricity is carried as an electric current $I$ through a transmission line (resistance $R$) from the plant to the user, where it provides the user with electric power $P'$. ($a$) Show that the reduction in power $\Delta P = P - P'$ due to transmission losses is given by $\Delta P = P^2R/V^2$. ($b$) In order to reduce power losses during transmission, should the operator choose $V$ to be as large or as small as possible?
Ï = E/J, R = V/I, and R = ÏL/A. Conductor Voltage (V) Current (A) A 12 2 B 0.1 0.04 C 100 20 D 20 100 E 12 0.04 Which conductor in the table has the greatest resistance?
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(II) An electric power plant can produce electricity at a fixed power $P,$ but the plant operator is free to choose the voltage $V$ at which it is produced. This electricity is carried as an electric current $I$ through a transmission line (resistance $R )$ from the plant to the user, where it provides the user with electric power $P^{\prime} .(a)$ Show that the reduction in power $\Delta P=P-P^{\prime}$ due to transmission losses is given by $\Delta P=P^{2} R / V^{2} .$ (b) In order to reduce power losses during transmission, should the operator choose $V$ to be as large or as small as possible?
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