Charge passing through a conductor of cross-section area A=0.3 m 2 is given by q=3 t2+5 t+2 in coulomb, where t is in second. What is the value of drift velocity at t=2 s ? (Given, .n=2 × 1025 / m 3)

Question

Charge passing through a conductor of cross-section area A=0.3 m 2 is given by q=3 t2+5 t+2 in coulomb, where t is in second. What is the value of drift velocity at t=2 s ? (Given, .n=2 × 1025 / m 3) (A) 0.77 × 10-5 m/s (B) 1.77 × 10-5 m/s (C) 2.08 × 10-5 m/s (D) 0.57 × 10-5 m/s

Tardigrade Admin · Accepted Answer

Given: A = 0.3 m2 n = 2 ×1025/m3 q =3t2 + 5t +2 i= (dq/dt) = 6t +5 = 17 i=n e A vd Drift velocity, vd = (i/neA) = (17/ 2× 1025 × 1.6× 10-19× 0.3 ) = (17/0.96× 106) = 1.77× 10-5 m/s

Q. Charge passing through a conductor of cross-section area $A = 0.3 m^{2}$ is given by $q = 3 t^{2} + 5 t + 2$ in coulomb, where $t$ is in second. What is the value of drift velocity at $t = 2 s ?$ (Given, $n = 2 \times 1 0^{25} / m^{3})$

$0.77 \times 1 0^{- 5} m / s$

$1.77 \times 1 0^{- 5} m / s$

$2.08 \times 1 0^{- 5} m / s$

$0.57 \times 1 0^{- 5} m / s$

Q. Charge passing through a conductor of cross-section area A=0.3m2 is given by q=3t2+5t+2 in coulomb, where t is in second. What is the value of drift velocity at t=2s? (Given, n=2×1025/m3)

0.77×10−5m/s

1.77×10−5m/s

2.08×10−5m/s

0.57×10−5m/s

Given :A=0.3m2 n=2×1025/m3 q=3t2+5t+2 i=dtdq​=6t+5=17 i=neAvd​ Drift velocity, vd​=neAi​ =2×1025×1.6×10−19×0.317​ =0.96×10617​ =1.77×10−5m/s

Q. Charge passing through a conductor of cross-section area $A = 0.3 m^{2}$ is given by $q = 3 t^{2} + 5 t + 2$ in coulomb, where $t$ is in second. What is the value of drift velocity at $t = 2 s ?$ (Given, $n = 2 \times 1 0^{25} / m^{3})$

$0.77 \times 1 0^{- 5} m / s$

$1.77 \times 1 0^{- 5} m / s$

$2.08 \times 1 0^{- 5} m / s$

$0.57 \times 1 0^{- 5} m / s$