1. In a circuit with impressed voltage e(t) and inductance L, Kirchhoff's first law gives the relationship di e(t) = L +Ri, dt where Ris the resistance in the circuit and i is the current. Suppose we measure the current for several values of t and obtain: Time (t) 1.00 1.01 1.02 1.03 1.04 Current (i) 3.10 3.12 3.14 3.18 3.24 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 voltage e(t) when t = 1.04.

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1. In a circuit with impressed voltage e(t) and inductance L, Kirchhoff's first law gives the
relationship
di
e(t) = L +Ri,
dt
where Ris the resistance in the circuit and i is the current. Suppose we measure the current for
several values of t and obtain:
Time (t)
1.00
1.01
1.02
1.03
1.04
Current (i)
3.10
3.12
3.14
3.18
3.24
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 voltage e(t) when t = 1.04.
Transcribed Image Text:1. In a circuit with impressed voltage e(t) and inductance L, Kirchhoff's first law gives the relationship di e(t) = L +Ri, dt where Ris the resistance in the circuit and i is the current. Suppose we measure the current for several values of t and obtain: Time (t) 1.00 1.01 1.02 1.03 1.04 Current (i) 3.10 3.12 3.14 3.18 3.24 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 voltage e(t) when t = 1.04.
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