1. In a circuit with impressed voltage ɛ(t) and inductanceL. Kirchhoff's first law gives the relationship di ɛ(t) = 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: 1.00 1.01 1.02 1.03 1.04 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 the voltage ɛ(t) when t = 1.00, 1.01, 1.02, 1.03, and1.04. (Use appropriate three point formulas for derivative.)
1. In a circuit with impressed voltage ɛ(t) and inductanceL. Kirchhoff's first law gives the relationship di ɛ(t) = 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: 1.00 1.01 1.02 1.03 1.04 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 the voltage ɛ(t) when t = 1.00, 1.01, 1.02, 1.03, and1.04. (Use appropriate three point formulas for derivative.)
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Transcribed Image Text:1. In a circuit with impressed voltage ɛ(t) and inductanceL. Kirchhoff's first law
gives the relationship
di
E(t) = 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:
1.00
1.01
1.02
1.03
1.04
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 the voltage ɛ(t)
when t =
1.00, 1.01, 1.02,1.03, and1.04. (Use appropriate three point formulas
for derivative.)
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