The magnetic flux through a coil varies with time t as follows:
`phi_(t) = (8t^(3) - 6t^(2) + t - 5) Wb`
What is the induced current through the coil at t = 4 s, given that the resistance of the coil is 10 `Omega` and the magnetic flux through the coil is perpendicular to its plane?

Explanation

To solve the problem, we need to find the induced current through the coil at \( t = 4 \) seconds, given the magnetic flux function and the resistance of the coil. We will follow these steps:

### Step 1: Write down the expression for magnetic flux
The magnetic flux \( \phi(t) \) is given by:
\[ \phi(t) = 8t^3 - 6t^2 + t - 5 \quad \text{(in Weber)} \]

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