Electrical force acting between two charges q1 and q2 nbsp-having a separation r is given by F-K q1q2-r2 obtain dimension of k-

K=Fr2q1q2Dimension #160;of #160;F=MLT 2, #160;r2=L2 #160;and #160;charge #160;does #160;not #160;have #160;any #160;dimensions #160;as # ...

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Standard XII

Physics

Electric Field

electrical fo...

Question

electrical force acting between two charges q1 and q2 having a separation r is given by F=K q1q2/r² obtain dimension of k.

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Solution

$K = \frac{F r^{2}}{q_{1} q_{2}} D i m e n s i o n o f F = M L T^{- 2}, r^{2} = L^{2} a n d c h a r g e d o e s n o t h a v e a n y d i m e n s i o n s a s a c h a r g e c a n n o t b e e x p r e s s e d i n t e r m s o f M, L a n d T . T h e r e f o r e t h e d i m e n s i o n s o f K I S; K = M L T^{- 2} \times L^{2} = M L^{3} T^{- 2}$

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electrical force acting between two charges q1 and q2 having a separation r is given by F=K q1q2/r2 obtain dimension of k.

K=Fr2q1q2Dimension of F=MLT-2, r2=L2 and charge does not have any dimensions as a charge can not beexpressed in terms of M, L and T.Therefore the dimensions of K IS; K=MLT-2×L2=ML3T-2

electrical force acting between two charges q1 and q2 having a separation r is given by F=K q1q2/r² obtain dimension of k.