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A 1.05 m length of resistance wire 0.2 mm in diameter is measured to have a resi

ID: 2026946 • Letter: A

Question

A 1.05 m length of resistance wire 0.2 mm in diameter is measured to have a resistance of 25.6 Ohm. The resistivity of wire 7.66 time 10 - 7 5.12 time 10 - 3 26.8 6.72 time 10 - 8 3.06 time 10 - 6 When two resistors are connected in series, the is the same potential difference across them current through them hear dissipated in them resistivity of them resistance of them The current in the figure have the values i1 = 3 A, and currents are positive in the indicated directions. Resistance potential difference across R is V.

Explanation / Answer

1. = RA/L, where is the resistivity (-m), R is the resistance (), L is the length of the wire (m), and A is the cross-sectional area (m2).

R = 25.6
L = 1.05m
A = area of circle with diameter 0.2mm --> radius of 0.0001m --> A = (0.0001m)2 = 3.14x10-8m2

= 25.6*3.14x10-8m2/1.05m = 7.66x10-7-m (A)

2. When two resistors are connected in series, the current through them is the same (B)