Question

the dimensional formula of resistance​

Answer 1

length2 × mass × time-3 × electric-current-2

Answer 2

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)