The current in an inductor is given by where is in second. The magnitude of induced emf produced in the inductor is 12 mV. The self-inductance of the inductor ________ mH

Question

The current in an inductor is given by $I = (3 t + 8)$ where $t$ is in second. The magnitude of induced emf produced in the inductor is 12 mV. The self-inductance of the inductor ________ mH. [2024]

Smart Achievers · Accepted Answer

(4) $| \in | = L \frac{d i}{d t}$

$i = | 3 t + 8 | \Rightarrow \frac{d i}{d t} = 3$

$ε = 12 mV$

$| ε | = L | \frac{d I}{d t} | \Rightarrow 12 = L \times 3$

$L = 4 mH$

Solution

Q.
The current in an inductor is given by $I = (3 t + 8)$ where $t$ is in second. The magnitude of induced emf produced in the inductor is 12 mV. The self-inductance of the inductor ________ mH. [2024]

Ans.
(4)    $| \in | = L \frac{d i}{d t}$

   $i = | 3 t + 8 | \Rightarrow \frac{d i}{d t} = 3$

   $ε = 12 mV$

   $| ε | = L | \frac{d I}{d t} | \Rightarrow 12 = L \times 3$

   $L = 4 mH$

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Solution

Q. The current in an inductor is given by I=(3t+8) where t is in second. The magnitude of induced emf produced in the inductor is 12 mV. The self-inductance of the inductor ________ mH. [2024]

Ans. (4) |∈|=Ldidt i=|3t+8|⇒didt=3 ε=12mV |ε|=L|dIdt|⇒12=L×3 L=4mH

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Q.
The current in an inductor is given by $I = (3 t + 8)$ where $t$ is in second. The magnitude of induced emf produced in the inductor is 12 mV. The self-inductance of the inductor ________ mH. [2024]

Ans.
(4) $| \in | = L \frac{d i}{d t}$

$i = | 3 t + 8 | \Rightarrow \frac{d i}{d t} = 3$

$ε = 12 mV$

$| ε | = L | \frac{d I}{d t} | \Rightarrow 12 = L \times 3$

$L = 4 mH$