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1. Homework Statement
Refer figure
Note: ~ stands for proportionality sign and p stands for resistivity.
3. The Attempt at a Solution
R=pl/A
R_{net}~l^{2}/A
V is constant across each conductor, so magnitude of electric field must be constant for every case. Since drift velocity depends on electric field, it is also constant for all. Wrong
Total current I in the circuit is constant in every case. But current density is constant only in A as area perpendicular to the current flow is constant. Correct.
Resistance per unit volume and Power dissipated per unit volume both are variables for all as both are functions of distance. Correct.
The only problem is with drift velocity and electric field.
Refer figure
Note: ~ stands for proportionality sign and p stands for resistivity.
3. The Attempt at a Solution
R=pl/A
R_{net}~l^{2}/A
V is constant across each conductor, so magnitude of electric field must be constant for every case. Since drift velocity depends on electric field, it is also constant for all. Wrong
Total current I in the circuit is constant in every case. But current density is constant only in A as area perpendicular to the current flow is constant. Correct.
Resistance per unit volume and Power dissipated per unit volume both are variables for all as both are functions of distance. Correct.
The only problem is with drift velocity and electric field.
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