MCQ
$E$ denotes electric field in a uniform conductor, $I$ corresponding current through it, ${v_d}$ drift velocity of electrons and $P$ denotes thermal power produced in the conductor, then which of the following graph is incorrect
- A
- B
- ✓
- D
✓
Answer
Correct option: C.
c
$E = \frac{{iR}}{L} = \frac{{i.\rho }}{A} = \frac{{neA{v_d}\rho }}{A}$ $ \Rightarrow $ ${v_d} \propto E$ (Straight line)
$E = \frac{{iR}}{L} = \frac{{i.\rho }}{A} = \frac{{neA{v_d}\rho }}{A}$ $ \Rightarrow $ ${v_d} \propto E$ (Straight line)
$P = {i^2}R = {\left( {\frac{{EA}}{\rho }} \right)^2}R$ $ \Rightarrow $ $P \propto {E^2}$ (Symmetric parabola)
Also $P \propto {i^2}$ (parabola)
Hence all graphs $a, b, d$ are correct and $c$ is incorrect.
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