Answer:

Explanation:
Given:
- volume of oil in the cylinder,

- volume of the oil level when the ice is immersed,

- the volume level of oil when the ice melted,

<u>Now, therefore the volume of ice:</u>



<u>Now the volume of water:</u>



As we know that the relative density is the ratio of density of the substance to the density of water.
<u>So, the relative density of ice:</u>
.....................(1)
as we know that density is given as:

now eq. (1)

where, m = mass of the water or the ice which remains constant in any phase



Magnetic flux can be calculated by the product of the magnetic field and the area that is perpendicular to the field that it penetrates. It has units of Weber or Tesla-m^2. For the first question, when there is no current in the coil, the flux would be:
ΦB = BA
A = πr^2
A = π(.1 m)^2
A = π/100 m^2
ΦB = 2.60x10^-3 T (π/100 m^2 ) ΦB = 8.17x10^-5 T-m^2 or Wb (This is only for one loop of the coil)
The inductance on the coil given the current flows in a certain direction can be calculated by the product of the total number of turns in the coil and the flux of one loop over the current passing through. We do as follows:
L = N (ΦB ) / I
L = 30 (8.17x10^-5 T-m^2) / 3.80 = 6.44x10^-4 mH
Answer:
The y-value of the line in the xy-plane where the total magnetic field is zero 
Explanation:
From the question we are told that
The distance of wire one from two along the y-axis is y = 0.340 m
The current on the first wire is 
The force per unit length on each wire is 
Generally the force per unit length is mathematically represented as

=> 
Where
is the permeability of free space with a constant value of 
substituting values

=>
Let U denote the line in the xy-plane where the total magnetic field is zero
So
So the force per unit length of wire 2 from line U is equal to the force per unit length of wire 1 from line (y - U)
So

substituting values



Answer:
Explanation:
Solution:
- We are to develop a circuit that has an input of available battery 9.0 V and has an output potential difference of 3.0 V
- We are given:
Battery ..... 9.0 V
Resistors ... 10 Kohms
- We will develop a potential divider circuit by placing a few resistors in series and then connecting in between resistors to get our desired voltage.
- How many resistors should we use ?
We know that if we add series resistance in a circuit the current decreases proportionally. However, the potential difference across resistors also changes.
- Our desired voltage is a ratio of input battery voltage.
Input / Output = 9 / 3 = 3
We can use this ratio as the number of "Identical resistors" that can be placed in series to give us the desired voltage. Note: This would not be true if we did not had any identical resistors.
- We will place 3, 10 Kohms resistors in series.
- To verify we will calculate the potential difference across each resistor. The current of the total circuit is:
I = V / R_eq
R_eq = 3*R = 30 kohms
I = 9 / 30,000 = 0.0003 Amps
- Now the potential difference for each resistor:
V = I*R_each
V = 0.0003*(10,000)
V = 3.0 V
- We can take two leads across any 10 kohms resistor and the potential difference across the leads would be the desired voltage 3.0 V.