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A Tungsten Wire Is 1.50 m1.50 \mathrm {~m} Long and Has a Diameter Of

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A tungsten wire is 1.50 m1.50 \mathrm {~m} long and has a diameter of 1.00 mm1.00 \mathrm {~mm} . At 20C20 ^ { \circ } \mathrm { C } a current of 50 mA50 \mathrm {~mA} flows through this wire. The temperature coefficient of resistivity for this tungsten is 4.5×4.5 \times 103/C10 ^ { - 3 } / \mathrm { C } ^ { \circ } , and its resistivity at 20C20 ^ { \circ } \mathrm { C } is 5.6×108Ωm5.6 \times 10 ^ { - 8 } \Omega \cdot \mathrm { m } .
(a) What is the potential difference across the ends of this wire at 20C20 ^ { \circ } \mathrm { C } ?
(b) If the wire temperature increases by 100C100 \mathrm { C } ^ { \circ } , what potential difference across its ends is now required to produce a current of 50 mA50 \mathrm {~mA} ?

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(a) 5.3 mV...

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