A uniform electric field exists in x-y plane. The potential of points A(-2 m , 2 m ), B(-2 m , 2 m ) and C(2 m , 4 m ) are 4 V , 16 V and 12 V, respectively. The electric field is

Question

A uniform electric field exists in x-y plane. The potential of points A(-2 m , 2 m ), B(-2 m , 2 m ) and C(2 m , 4 m ) are 4 V , 16 V and 12 V, respectively. The electric field is (A) (4 hati+5 hatj) ( V / m ) (B) (3 hati+4 hatj) ( V / m ) (C) -(3 hati+4 hatj) ( V / m ) (D) (3 hati-4 hatj) ( V / m )

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/43e17a027c8cfb7ad9c817388ac8f64d-.png" /> vecEx=(16-4/2) hati=3 hati vecEy= -(12-4/2) hatj= -4 hatj vecE=(3 hati-4 hatj) Vm -1

Q. A uniform electric field exists in $x - y$ plane. The potential of points $A (- 2 m, 2 m), B (- 2 m, 2 m)$ and $C (2 m, 4 m)$ are $4 V, 16 V$ and $12 V$ , respectively. The electric field is

$(4 \hat{i} + 5 \hat{j}) \frac{V}{m}$

$(3 \hat{i} + 4 \hat{j}) \frac{V}{m}$

$- (3 \hat{i} + 4 \hat{j}) \frac{V}{m}$

$(3 \hat{i} - 4 \hat{j}) \frac{V}{m}$

$E_{x} = \frac{16 - 4}{2} \hat{i} = 3 \hat{i}$
$E_{y} = - \frac{12 - 4}{2} \hat{j} = - 4 \hat{j}$
$E = (3 \hat{i} - 4 \hat{j}) V m^{- 1}$

Q. A uniform electric field exists in x−y plane. The potential of points A(−2m,2m),B(−2m,2m) and C(2m,4m) are 4V,16V and 12V, respectively. The electric field is

(4i^+5j^​)mV​

(3i^+4j^​)mV​

−(3i^+4j^​)mV​

(3i^−4j^​)mV​