Answer:
The coil radius of other generator is 5.15 cm
Explanation:
Consider the equation for induced emf in a generator coil:
EMF = NBAω Sin(ωt)
where,
N = No. of turns in coil
B = magnetic field
A = Cross-sectional area of coil = π r²
ω = angular velocity
t = time
It is given that for both the coils magnetic field, no. of turn and frequency is same. Since, the frequency is same, therefore, the angular velocity, will also be same. As, ω = 2πft.
Therefore, EMF for both coils or generators will be:
EMF₁ = NBπr₁²ω Sin(ωt)
EMF₂ = NBπr₂²ω Sin(ωt)
dividing both the equations:
EMF₁/EMF₂ = (r₁/r₂)²
r₂ = r₁ √(EMF₂/EMF₁)
where,
EMF₁ = 1.8 V
EMF₂ = 3.9 V
r₁ = 3.5 cm
r₂ = ?
Therefore,
r₂ = (3.5 cm)√(3.9 V/1.8 V)
<u>r₂ = 5.15 cm</u>
Determine the rule that the numbers in the sequence obey, and then utilize this rule to determine the missing term to complete a number sequence. The rule that the numbers in the example above adhere to is "Add 8 and then remove 2." Therefore, 32 is the term that is missing from the given number sequence.
<h3>What is a number sentence?</h3>
- A number sentence is an equation or inequality that is articulated using numbers and mathematical symbols in the context of mathematics education.
- In the US, Canada, UK, Australia, New Zealand, South Africa, and other countries, the phrase is used in the instruction of elementary-level mathematics.
- The word is employed when asking pupils to write equations using fundamental mathematical symbols.
- Unknown values are sometimes denoted by boxes or forms.
- To introduce pupils to the ideas of structure and basic algebra before more formal teaching of these concepts, number sentences are utilized.
<h3>A math sentence is what?</h3>
- A mathematical statement about two expressions is made.
- Either integers, variables, or a combination of both are used in the two phrases.
- Additionally, words or symbols like equals, greater than, or less than can be used in a mathematical phrase.
Learn more about number sentences here:
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If the maximum emf of the ac generator is 20 V and the maximum potential difference across the resistor is 16 V Then the maximum potential difference across the inductor is 4 V.
Calculation:
Step-1:
It is given that the RL circuit is connected to a 20 V ac generator. The maximum potential difference across the resistor is 16 V. It is required to find the maximum potential drop across the inductor.
Step-2:
The maximum emf of the generator is equal to the sum of the maximum potential difference across the resistor and the maximum potential difference across the inductor.
Therefore,
The maximum potential difference across the inductor + Maximum maximum potential difference across the resistor = Maximum emf of the generator
Thus,
Maximum maximum potential difference across the inductor + 16 V = 20 V
Therefore,
Maximum maximum potential difference across the inductor = 20 V - 16 V = 4 V
Learn more about potential differences across resistor and inductor here,
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Distance traveled by the ball is given by
here we know that
speed = 20 m/s
times = 0.25 s
now we have
so ball will travel 5 m distance in the given interval of time
Because a sxientific law is always applies under the same conditions, and implies that there is a causal relationship involving its elements. And so that is why gravity <span>always applies under the same conditions, and implies that there is a causal relationship involving its elements.</span>
