A uniform electric field of 100 NC- 1 exists in XY plane making an angle 60° with +X direction. Consider points A(.1,2,3.)m and B(.3,2,1.)m then VA-VB is:-

Question

A uniform electric field of 100 NC- 1 exists in XY plane making an angle 60° with +X direction. Consider points A(.1,2,3.)m and B(.3,2,1.)m then VA-VB is:- (A) 100 volt (B) 200 √3 volt (C) 283 volt (D) 400 volt

Tardigrade Admin · Accepted Answer

vecE=100cos60° hati+100sin60° hatj vecE=50 hati+50√3 hatj V A -V B = vecE ⋅( vecr B - vecr A ) =(.50 hati+50√3 hatj.)⋅ (.2 hati-2 hatk.) =100 volt

Q. A uniform electric field of $100 N C^{- 1}$ exists in $X Y$ plane making an angle $6 0^{\circ}$ with $+ X$ direction. Consider points $A (1, 2, 3) m$ and $B (3, 2, 1) m$ then $V_{A} - V_{B}$ is:-

$100$ volt

$2003$ volt

$283$ volt

$400$ volt

$E = 100 cos 6 0^{\circ} \hat{i} + 100 s in 6 0^{\circ} \hat{j}$
$E = 50 \hat{i} + 503 \hat{j}$
$V_{A} - V_{B} = E \cdot (r B - r_{A})$
$= (50 \hat{i} + 503 \hat{j}) \cdot (2 \hat{i} - 2 \hat{k})$
$= 100$ volt

Q. A uniform electric field of 100NC−1 exists in XY plane making an angle 60∘ with +X direction. Consider points A(1,2,3)m and B(3,2,1)m then VA​−VB​ is:-

100 volt

2003​ volt

283 volt

400 volt