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2. Electric Potential and Capacitance
easy
વિધુતસ્થિતિમાન $V = 4x + 3y,$ હોય તો $(2, 1)$ બિંદુએ વિધુતક્ષેત્ર કેટલું થાય?
A
$11$
B
$5$
C
$7$
D
$1$
Solution
$E = \sqrt {E_x^2 + E_y^2} $; ${E_x} = – \frac{{dV}}{{dx}} = – \frac{d}{{dx}}(4x + 3y) = – 4$
${E_y} = – \frac{{dV}}{{dy}} = – \frac{d}{{dy}}(4x + 3y) = – 3$
$E=\sqrt{{{(-4)}^{2}}+{{(-3)}^{2}}}=5\,N/C$
Standard 12
Physics