How will you find the inductance of a choke coil needed to run an arc lamp with an AC source of 410V supply at 50Hz? The arc runs at 10 A current and has an effective resistance 40 ohm. [Ans:29mH]

Answer 1
Current required by arc lamp #10A#. Let #Z# be the impedance of the arc lamp and choke coil together. Current #I# is given by #I=410/Z=10A# ⇒#Z=41Ω# ....(1)
We know that Reactance of the choke coil #ωL=2πf×L# .....(2) Where #f# is the frequency of voltage source.
Also we know that in a LR circuit #Z^2=R^2+(ωL)^2# Inserting values of #Z# from (1) and given value of #R#
#41^2=40^2+(ωL)^2#
⇒#(ωL)^2=81# Using (2) #L=sqrt81/(2π×50)# ⇒#L=0.029H#, rounded to three decimal places. or #L=29mH#
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Answer 2

To find the inductance of the choke coil, we can use the formula:

Inductance (L) = (Voltage / Current) * Impedance

First, we need to calculate the impedance of the arc lamp, which includes both its effective resistance and the reactance due to inductance. The reactance (X) can be calculated using the formula:

Reactance (X) = Voltage / Current

Then, we can use the formula for inductive reactance:

Inductive Reactance (XL) = 2 * π * Frequency * Inductance

Rearranging this formula to solve for inductance:

Inductance (L) = XL / (2 * π * Frequency)

Finally, we can substitute the given values and solve for inductance.

Inductance (L) = (Voltage / Current) * Impedance

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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