INDEX NUMBER: 5. In a circuit with impressed voltage E(t) and inductance L, Kirchhoff's first law gives the relationship E(t) = L di dt 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: t,s i, amp E, volts + Ri 1.0 1.05 1.2 1.5 1.8 3.10 3.18 3.25 3.5 3.9 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 = 1.0, 1.05, 1.2, 1.5, and 1.8.

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INDEX NUMBER:
5. In a circuit with impressed voltage E(t) and inductance L, Kirchhoff's first law gives the
relationship
di
= L + Ri
dt
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:
t,s
i, amp
E, volts
E(t)
1.0 1.05 1.2 1.5 1.8
3.10 3.18 3.25 3.5 3.9
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 = 1.0, 1.05, 1.2,
1.5, and 1.8.
Transcribed Image Text:INDEX NUMBER: 5. In a circuit with impressed voltage E(t) and inductance L, Kirchhoff's first law gives the relationship di = L + Ri dt 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: t,s i, amp E, volts E(t) 1.0 1.05 1.2 1.5 1.8 3.10 3.18 3.25 3.5 3.9 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 = 1.0, 1.05, 1.2, 1.5, and 1.8.
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