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```        The amount of charge passed in time t through a cross-section of a wire is
Q(t) = At^2 + Bt + C.
(a) Write the dimensional formulae for A, B and C.
(b) If the numerical values of A, B and C are 5, 3 and 1 respectively in SI units, find the value of the current at t = 5 s.
```
3 years ago

Navjyot Kalra
654 Points
```										Sol. Q(t) = At^2 + Bt + c
a) At^2 = Q
⇒ A = Q/t^2 =  ‘T’/T^-2 = A 1^T^-1
b) Bt = Q
⇒ B = Q/t = A ‘T’/T = A
c) C = [Q]
⇒ C = A’T’
d) Current t = dq/dt = d/dt(At^2 + Bt + C)
= 2At + B = 2 * 5 * 5 + 3 = 53 A.

```
3 years ago
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