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2. Electric Potential and Capacitance
easy

વિદ્યુતક્ષેત્ર $\mathop E\limits^ \to  \,\, = \,\,{e_1}\,\hat i\,\, + \,\,{e_2}\,\hat j\,\, + \,\,{e_3}\,\hat k\,\,\,\,\,\,\,\mathop r\limits^ \to  \,\, = \,\,a\,\hat i\,\, + \,\,b\,\hat j\,\,$ મી છે .થતું કાર્ય............છે.

A

$Q(ae_1 + be_2)$

B

$Q\,\sqrt {{{(a{e_1})}^2}\, + \,\,{{(b{e_2})}^2}} $

C

$Q\,({e_1}\, + \,\,{e_2})\,\sqrt {{a^2}\, + \,\,{b^2}} $

D

$(\sqrt {e_1^2\, + \,\,e_2^2} )\,\,\,\,(a\,\, + \,\,b)$

Solution

$W = \overrightarrow F \,\,.\,\,\overrightarrow r \,\, = \,\,Q\overrightarrow E \,\,.\,\,\overrightarrow r \,\, = \,\,Q\,\left( {a{e_1}\,\, + \;\,b{e_2}} \right)$

Standard 12
Physics

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