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dimensional formula for resistence  
Asked by mages032006 | 26 Jun, 2023, 18:37: PM
answered-by-expert Expert Answer
Electrical power = ( current )2 × Resistance 
 
Resistance = Power / ( current )2 ........................(1) 
 
Power = Work / Time = ( force * distance ) / Time  ....................(2)
 
 
Let [ x ] be dimension of quantity x 
 
dimensions of force = [ force ] = M L T -2 
 
Using eqn.(2) , dimensions of power = [ Power ] = (  M L T -2 × L ) / T  = M L2 T -3 
 
Using eqn.(1), dimensions of resistance = [ Resistance ] = M L2 T -3 A-2 
Answered by Thiyagarajan K | 26 Jun, 2023, 21:18: PM
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