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The interaction of electric charges q_1 and q_2 separated by a distance r is F=1/(4piepsilon_0)(q_1q_2)/r^2 If p_1 and p_2 are the properties of two magnetic poles , separated by a distance r , the force is F=(mu_0)/(4pi)(p_1p_2)/r^2 a. Write two similar properties of these two forces. b. Name the quantities p_1,p_2 and mu_0 . c. Show that 'p' has the ampere metre^2. |
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Answer» SOLUTION :a. i. Both are inverse square law forces II. Both are long range , can be attractive or repulsive. B. `p_1 and p_2` are called pole strengths `mu_0` - is the property of vacuum (or air) and is called permeability . c. Force between conductors `F=(mu_0I^2l)/(2A)` To find unit we take `[(mu_0I^2l)/(2a)]=[(mu_0)/(4PI)(p^2)/r^2]` `([I^2][L])/([L])=([P^2])/([L^2])"":.[P^2]=[I^2][L^2]` `:.` P has unit, A m or Dimensions given , `[F]=[q^2/(4piepsilon_0r^2)]=[(mu_0p^2)/(4pir^2)]` `([q^2])/([epsilon_0])=[mu_0].[P^2]"":.[P^2]=([q^2])/([epsilon_0][mu_0])=([q^2])/([epsilon_0mu_0])=[q^2c^2]=[I^2T^2xxL^2T^(-2)]` Since `1/(epsilon_0mu_0)=c^2"":.[P]=[I.L]` |
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