Answer
The Value of r = 0.127
Explanation:
The mathematical representation of the two resistors connected in series is
And from Ohm law
The mathematical representation of the two resistors connected in parallel is
From the question 
=> 
Dividing equation 2 with equation 1
=> 
We are told that 
From equation 3
Using the quadratic formula
a = 1 b = -8 c =1
Now r = 0.127 because it is the least value among the obtained values
Answer:
The value is 
Explanation:
Generally the velocity attained by the sled after t = 3.10 s is mathematically evaluated using the kinematic equation as follows
Here u = 0 \ m/s
a = 13.5 
So
=> 
The is distance it covers at this time is
=> 
=> 
Now when sled stops its the final velocity is 
while the initial velocity will be the velocity after its acceleration i.e
So
Here 
, the negative sign shows that it is deceleration
So
=>
The strength of the magnetic field is 
Explanation:
According to Faraday's Law, the magnitude of the induced emf in the coil is equal to the rate of changeof the flux linkage through the coil:
(1)
where
N = 505 is the number of turns in the coil
is the change in magnetic flux through the coil
is the time interval
The coil is rotated from a position perpendicular to the Earth's magnetic field to a position parallel to it, so the final flux is zero, and the magnitude of the flux change is simply equal to the initial flux:
where
B is the strength of the magnetic field
A is the area of the coil
is the angle between the normal to the coil and the field
The area of the coil can be written as
where
is its radius
Substituting everything into eq.(1) and solving for B, we find:
Learn more about magnetic fields:
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Answer:
9.99
Explanation:
The value of (997)^1/3
(997)^1/3
997 = (1000 - 3)
(1000 - 3)^1/3
Expanding :
[1000(1 - 3/1000)]^1/3
1000^1/3 * (1 - 3/1000)^1/3
Cube root of 1000
10 * (1 - 3/1000 * 1/3)
10 * (1 - 1/1000)
10 * (1 - 0.001)
10(0.999)
= 9.99
Hence, the value of (997)^1/3 according to binomial theorem is 9.99
