Answer:
2.62 A
Explanation:
B = 2 T, Diameter = 2.5 cm , radius, r = 0.0125 m, t = 0.45 s, r = 0.01 ohm
Induced emf, e = rate of change of magnetic flux
e = A x dB / dt = 3.14 x (0.0125)^2 x 2 / 0.45
e = 0.026 V
induced current, i = e / R = 0.026 / 0.01 = 2.62 A
Answer:
The radius of the cable is 0.0083 m or 8.3 mm.
Explanation:
The resistance of copper cable of 1 meter length will be given by
.... (i)
where the resistivity of copper is
, and l is the length of the wire which is considered to be 1m, and a is the cross sectional area of the wire in
.
From the formula of power we know that,
.... (ii)
Therefore 2 W/m =
.... (iii)
where the resistance,R, actually means the resistance of the cable per meter.
Therefore R ( resistance of cable per meter)
=
ohms / meter. .... (iv)
Therefore from (i)
=
..... (v)
where cross sectional area of the cable, a =
,
where r is the radius of the cable, and length of cable,l = 1m.
Therefore r = 
By definition, Ampere is a unit of current which is a measure of the amount of charge passing through a point in a circuit per unit of time, with an equivalent charge of 1.602 x 10^(-19) Coulomb per electron. To determine the number of electrons passing through the heater, we use the definition of the current. We calculate as follows:
13.5 A = 13.5 C per second
Charge = 13.5 C/s (10 min) ( 60 s / 1 min)
Charge = 8100 C
Number of electrons = 8100 C / 1.602 x 10^(-19) C per electron
Number of electrons = 5.1 x 10^22 electrons
Therefore, there are 5.1 x10^22 electrons that assed through the heater for 10 minutes.
Answer:
The recoil velocity is 0.354 m/s.
Explanation:
Given that,
Mass of hunter = 70 kg
Mass of bullet = 42 g = 0.042 kg
Speed of bullet = 590 m/s
We need to calculate the recoil speed of hunter
Using conservation of momentum

Where,
= mass of hunter
= mass of bullet
u = initial velocity
v = recoil velocity
Put the value in the equation



Hence, The recoil velocity is 0.354 m/s.
Answer:
The value is 
Explanation:
From the question we are told that
The power rating of the stove is 
The duration of its use everyday is
The rating of the light bulbs is 
The number is 
The power rating of the total bulb is 
The duration of its use everyday is 
The power rating of miscellaneous appliance 
The duration of its use everyday is 
The power rating of hot water 
The duration of its use everyday is 
Generally the total electrical energy used in 1 month is mathematically represented as

=> 
=> 
=> 
Generally the monthly electricity bill is mathematically represented as

=> 