the dimensional formula of resistance
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the dimensional formula of resistance
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Answer:
M1 L2 T-3 I-2
Explanation:
Where,
M = Mass
I = Current
L = Length
T = Time
Derivation
Resistance (R) = Voltage × Current-1 . . . . (1)
Since, voltage (V) = Electric Field × Distance = [Force × Charge-1] × Distance
The dimensional formula of force = M1 L1 T-2
The dimensional formula of charge = current × time = I1 T1
∴ The dimensional formula of voltage = [Force × Charge-1] × Distance
= [M1 L1 T-2] × [I1 T1]-1 × [L1] = [M1 L2 T-3 I-1] . . . . (2)