The figure below shows a resistor of resistance R = 6.00 Ohm resistor connected

Question

The figure below shows a resistor of resistance R = 6.00 Ohm resistor connected to an ideal 12.0 V battery by means of two copper wires. Each wire has length 19.0 cm and radius 1.00 mm. In dealing with such circuits, we generally neglect the potential differences along wires and the transfer of energy to thermal energy in them. Check the validity of this neglect for the circuit by answering the following questions. What is the potential difference across the resistor? (Enter your answer to 6 significant figures for comparison.) What is it across each of the two sections of wire? mV At what rate is energy lost to thermal energy in the resistor? W At what rate is it lost in each of the two sections of wire? W

Explanation / Answer

(a)    the resistance of the wire is    Rwire = l /A    where A = r2    Rwire = ........    the resistive load on the battery is2Rwire + 6.00    dividing this into the battery emf gives thecurrent    i = ........ A    the voltage across the 6.00 resistoris    V = i (6.00 )        = ....... V (b)    in the similar manner we find the voltagedrop across each wire (c)    the power dissipated in each cases willbe    P = i2 R   

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