Resistance?

Question

`1.) In this problem, you will calculate the basic quantities in a simple electric circuit.
A 83 Ω resistor and a length of wire of resistance 18 Ω are connected in series across a 57 V power supply.
Calculate the current flowing in the circuit.
Give your answer in Amps

2.) Calculate the power dissipated in the 83 Ω resistor..
Give the answer in Watts.

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Answer 1 · 2018-02-16T20:34:41

1.) #I = 0.56" A"#

2.) #P = 26.4" W"#

The total resistance of the circuit is:

#R_"total" = 83" "Omega+18" "Omega#

#R_"total" = 101" "Omega#

The current in the circuit is the source voltage divided by the total resistance:

#I = V/R_"total"#

#I = (57" V")/(101" "Omega)#

#I = 0.564" A"#

The power dissipated by the resistor is the square of the current through it multiplied by the resistance of the resistor:

#P = I^2R#

#P = (0.564" A")^2(83" "Omega)#

#P = 26.4" W"#