In a circuit with impressed voltage E(t) and inductance L, Kirchhoff's first law gives the relationship E(t) = L di/dt + Ri, Where R is the resistance in the circuit and i is the current. Suppose we measure the current for several values of t and obtain:

Where t is measured in seconds, i is in amperes, the inductance L is a constant 0.98 henries, and the resistance is 0.142 ohms. Approximate the voltage E(t) when t = 1.00, 1.01, 1.02, 1.03, and 1.04.

100.02031.0 i3.10 3.12 3.143.18 3.24