The power delivered to the coil is 721.31 Watts
<h3>How to determine the power</h3>
Given that;
- Power of the heating coil = 500W
- Voltage = 110V
- Diameter of the Nichrome wire = 0. 500mm, radius = 0. 500/2 = 0. 00025m
But the formula for power is given a;
Power, P = V²/R
Then , R = V²/P
R = (110)²/ 500 = 24. 2Ω
To determine the length,
Length, L = RA/ ρ
L = 24. 2 × ( 0. 0025)² × 3. 142/ 10^-6
L = 4. 32m
We also have that;
Resistance, R = Ro( 1 + α ΔT)
R = 24. 2 ( 1 + 0. 0004 × 1180)
R = 35. 62Ω
Current, I = V R
Current, I = 110/24.2 = 4. 5 A
Power delivered = I²R = (4.5)² × 35. 62 = 721.31 Watts
Thus, the power delivered to the coil is 721.31 Watts
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The resistance of wire B will be D. 1/2R
<h3>What is resistance?</h3>
It should be noted that resistance simply means the measure of the opposition to the current flow that's in an electric circuit.
Based on the information given, the resistance will be calculated thus:
= 2L/4A
= 1/2pL/A
= R/2
Therefore, the resistance of wire B will be D. 1/2R
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Two wires A and B with circular cross sections are made of the same metal and have equal lengths, but the resistance of wire A is three times greater than that of wire B. (ii) What is the ratio of the radius of A to that of B
(a) 4 R (b) 2 R (c) R (d) 1/2R (e) 1/4R
The speed of the roller coater at the bottom of the hill is 31 m/s.
<h3>
Speed of the roller coater at the bottom of the hill</h3>
Apply the principle of conservation of mechanical energy as follows;
K.E(bottom) = P.E(top)
¹/₂mv² = mgh
v² = 2gh
v = √2gh
where;
- v is the speed of the coater at bottom hill
- h is the height of the hill
- g is acceleration due to gravity
v = √(2 x 9.8 x 49)
v = 31 m/s
Thus, the speed of the roller coater at the bottom of the hill is 31 m/s.
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Answer:
Explanation:
The strength of the gravitational field at the surface of a planet is given by
(1)
where
G is the gravitational constant
M is the mass of the planet
R is the radius of the planet
For the Earth:
For the unknown planet,
Substituting into the eq.(1), we find the gravitational acceleration of planet X relative to that of the Earth:
And substituting g = 9.8 m/s^2,
Answer:
a. xy
Explanation:
The Faraday's law of induction can be used to express the relationship between the electric field line integral and the magnetic flux rate change in a closed loop. In order to ensure that the relationship between the two variables is equivalent to zero, the integration should be conducted on the xy plane. The correct option is option a.
