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The voltage-length characteristics of a DC arc is V = (10 + 30l) volts (where V = operating voltage and l = arc length in cm) and the power source characteristics is V = (60 − 0.07I) volts. What will be the arc power in volt-amp, corresponding to the optimum arc length? (Answer up to the nearest integer)
Correct answer is '12857'. Can you explain this answer?
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The voltage-length characteristics of a DC arc is V = (10 + 30l) volt...
< b="" />Given data:< />
- Voltage-length characteristics of a DC arc: V = (10 + 30l) volts
- Power source characteristics: V = (60 - 0.07I) volts
< b="" />To find:< />
- Arc power in volt-amp corresponding to the optimum arc length
< b="" />Solution:< />
< b="" />Step 1: Finding the optimum arc length:< />
The optimum arc length can be determined by equating the voltage-length characteristics of the arc to the power source characteristics:
10 + 30l = 60 - 0.07I
Simplifying the equation:
30l + 0.07I = 50
< b="" />Step 2: Finding the current:< />
From the power source characteristics equation:
V = 60 - 0.07I
Substituting the optimum arc length equation into the power source characteristics equation:
V = 60 - 0.07(50 - 30l)
Simplifying the equation:
V = 60 - 3.5 + 0.21l
< b="" />Step 3: Equating the voltage-length characteristics and power source characteristics:< />
Equating the voltage-length characteristics of the arc to the power source characteristics:
10 + 30l = 60 - 3.5 + 0.21l
Simplifying the equation:
29.79l = 53.5
Solving for l:
l = 53.5 / 29.79
l ≈ 1.795 cm
< b="" />Step 4: Finding the arc power:< />
Using the voltage-length characteristics equation:
V = 10 + 30l
Substituting the optimum arc length into the equation:
V = 10 + 30(1.795)
V ≈ 64.85 volts
Using the power source characteristics equation:
V = 60 - 0.07I
Solving for I:
I = (60 - V) / 0.07
I = (60 - 64.85) / 0.07
I ≈ -69.29 A
Since the arc power is given by:
P = IV
Substituting the values of V and I:
P = 64.85 * (-69.29)
P ≈ -4492.87 VA
However, the answer has to be rounded to the nearest integer. Hence, the arc power is approximately 4493 VA, which when rounded to the nearest integer is 4493 VA.
The correct answer is 4493 VA.
- Voltage-length characteristics of a DC arc: V = (10 + 30l) volts
- Power source characteristics: V = (60 - 0.07I) volts
< b="" />To find:< />
- Arc power in volt-amp corresponding to the optimum arc length
< b="" />Solution:< />
< b="" />Step 1: Finding the optimum arc length:< />
The optimum arc length can be determined by equating the voltage-length characteristics of the arc to the power source characteristics:
10 + 30l = 60 - 0.07I
Simplifying the equation:
30l + 0.07I = 50
< b="" />Step 2: Finding the current:< />
From the power source characteristics equation:
V = 60 - 0.07I
Substituting the optimum arc length equation into the power source characteristics equation:
V = 60 - 0.07(50 - 30l)
Simplifying the equation:
V = 60 - 3.5 + 0.21l
< b="" />Step 3: Equating the voltage-length characteristics and power source characteristics:< />
Equating the voltage-length characteristics of the arc to the power source characteristics:
10 + 30l = 60 - 3.5 + 0.21l
Simplifying the equation:
29.79l = 53.5
Solving for l:
l = 53.5 / 29.79
l ≈ 1.795 cm
< b="" />Step 4: Finding the arc power:< />
Using the voltage-length characteristics equation:
V = 10 + 30l
Substituting the optimum arc length into the equation:
V = 10 + 30(1.795)
V ≈ 64.85 volts
Using the power source characteristics equation:
V = 60 - 0.07I
Solving for I:
I = (60 - V) / 0.07
I = (60 - 64.85) / 0.07
I ≈ -69.29 A
Since the arc power is given by:
P = IV
Substituting the values of V and I:
P = 64.85 * (-69.29)
P ≈ -4492.87 VA
However, the answer has to be rounded to the nearest integer. Hence, the arc power is approximately 4493 VA, which when rounded to the nearest integer is 4493 VA.
The correct answer is 4493 VA.
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Community Answer
The voltage-length characteristics of a DC arc is V = (10 + 30l) volt...
Voltage-length characteristics of a DC arc is V = 10 + 30l and …(i)
Power source characteristics is V = 60 - 0.07I …(ii)
For Stale arc, Eq. (i) = Eq. (ii)
10 + 30l = 60 - 0.07I
For maximum power, dp / dl = 0
30(50 - 30l) - 30 (10 + 30l) = 0
or 1500 - 900l - 300 - 900l = 0
or 1800l = 1200 or l = 2 / 3 = 0.67 cm
Optimum arc length = 0.67 cm
Thus, corresponding maximum power is
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The voltage-length characteristics of a DC arc is V = (10 + 30l) volts (where V = operating voltage and l = arc length in cm) and the power source characteristics is V = (60 − 0.07I) volts. What will be the arc power in volt-amp, corresponding to the optimum arc length? (Answer up to the nearest integer)Correct answer is '12857'. Can you explain this answer?
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The voltage-length characteristics of a DC arc is V = (10 + 30l) volts (where V = operating voltage and l = arc length in cm) and the power source characteristics is V = (60 − 0.07I) volts. What will be the arc power in volt-amp, corresponding to the optimum arc length? (Answer up to the nearest integer)Correct answer is '12857'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The voltage-length characteristics of a DC arc is V = (10 + 30l) volts (where V = operating voltage and l = arc length in cm) and the power source characteristics is V = (60 − 0.07I) volts. What will be the arc power in volt-amp, corresponding to the optimum arc length? (Answer up to the nearest integer)Correct answer is '12857'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The voltage-length characteristics of a DC arc is V = (10 + 30l) volts (where V = operating voltage and l = arc length in cm) and the power source characteristics is V = (60 − 0.07I) volts. What will be the arc power in volt-amp, corresponding to the optimum arc length? (Answer up to the nearest integer)Correct answer is '12857'. Can you explain this answer?.
The voltage-length characteristics of a DC arc is V = (10 + 30l) volts (where V = operating voltage and l = arc length in cm) and the power source characteristics is V = (60 − 0.07I) volts. What will be the arc power in volt-amp, corresponding to the optimum arc length? (Answer up to the nearest integer)Correct answer is '12857'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The voltage-length characteristics of a DC arc is V = (10 + 30l) volts (where V = operating voltage and l = arc length in cm) and the power source characteristics is V = (60 − 0.07I) volts. What will be the arc power in volt-amp, corresponding to the optimum arc length? (Answer up to the nearest integer)Correct answer is '12857'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The voltage-length characteristics of a DC arc is V = (10 + 30l) volts (where V = operating voltage and l = arc length in cm) and the power source characteristics is V = (60 − 0.07I) volts. What will be the arc power in volt-amp, corresponding to the optimum arc length? (Answer up to the nearest integer)Correct answer is '12857'. Can you explain this answer?.
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The voltage-length characteristics of a DC arc is V = (10 + 30l) volts (where V = operating voltage and l = arc length in cm) and the power source characteristics is V = (60 − 0.07I) volts. What will be the arc power in volt-amp, corresponding to the optimum arc length? (Answer up to the nearest integer)Correct answer is '12857'. Can you explain this answer?, a detailed solution for The voltage-length characteristics of a DC arc is V = (10 + 30l) volts (where V = operating voltage and l = arc length in cm) and the power source characteristics is V = (60 − 0.07I) volts. What will be the arc power in volt-amp, corresponding to the optimum arc length? (Answer up to the nearest integer)Correct answer is '12857'. Can you explain this answer? has been provided alongside types of The voltage-length characteristics of a DC arc is V = (10 + 30l) volts (where V = operating voltage and l = arc length in cm) and the power source characteristics is V = (60 − 0.07I) volts. What will be the arc power in volt-amp, corresponding to the optimum arc length? (Answer up to the nearest integer)Correct answer is '12857'. Can you explain this answer? theory, EduRev gives you an
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