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3 years ago

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What is the differential equation governing the growth of current in the circuit as a function of time after t=0? express the ri

ght-hand side of the differential equation for di(t)dt in terms of i(t), vb, r, and l?

1 answer:

Reika [66]3 years ago

3 0

Answer:

$v_{b}=ir+L\frac{di}{dt}$

Explanation:

A differential equation that contain a term with di(t)/dt is in a RL circuit. Here we have

$v_{b}=v_{r}+v_{i}$

where vr is the voltage in the resistance, vi is the voltage in the inductance and vb is the source voltage. But also we have that

$v_{r}=ir\\v_{i}=L\frac{di}{dt}$

where L is the inductance of the circuit, r is the resistance an i is the current. By replacing we have the differential equation

$v_{b}=ir+L\frac{di}{dt}$

I hope this is useful for you

regards

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An engine draws energy from a hot reservoir with a temperature of 1250 K and exhausts energy into a cold reservoir with a temper

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Answer:

The power output of this engine is $P = 17.5 W$

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Explanation:

From the question we are told that

The temperature of the hot reservoir is $T_h = 1250 \ K$

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The energy exhausts into cold reservoir is $E_c = 7.4 *10^{4} J$

The power output is mathematically represented as

$P = \frac{W}{t}$

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substituting values

$W = 63000 J$

So

$P = \frac{63000}{3600}$

$P = 17.5 W$

The Carnot efficiency is mathematically represented as

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$\eta_c = 1 - \frac{322}{1250}$

$\eta_c = 0.7424$

The actual efficiency is mathematically represented as

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substituting values

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How much work is done against gravity when lowering a 16 kg box 0.50 m? (g = 9.8 m/s2)

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Answer:

The work done against gravity is 78.4 J

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The work is calculated by multiplying the force by the distance that the

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We need to find the work done against gravity when lowering a

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→ m = 16 kg, and g = 9.8 m/s²

Substitute these value in the rule

→ F = 16 × 9.8 = 156.8 N

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→ F = 156.8 N and d = 0.50

Substitute these values in the rule

→ W = 78.4 J

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The boom is supported by the winch cable that has a diameter of 0.5 in. and allowable normal stress of σallow=21 ksi. A boom ris

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Answer:

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3 years ago