For the electric circuit given below, calculate: 3 (i) the equivalent resistance of the circuit, (ii) the total current drawn fr
om the battery and (iii) the voltage across 7Ω resistor.
1 answer:
Answer:
1)31/3Ω
2)18/31A
3)4.06V
Explanation:
According to the diagram and 10 Ω resistors are parallel to each other, parallel resistor can be calculated using the formula below
1/R= 1/R1 + 1/R2
But we know R1= 5 Ω and R2= 10 Ω
1/R= 1/5 + 1/10
R= 10/3 Ω
=3.33 Ω
Then if we follow the given figure, 10/3 Ω and 7Ω are now in series then
Req = 10/3 +7
Req= 31/3 Ω
Therefore, equivalent resistance = 31/3 Ω
According to ohms law we know that V= IR
Then I= V/R
Where I= current
R= resistance
V= voltage
I= 6/(31/3)
I= 18/31A
We can now calculate the voltage accross the resistor which is
V=(18/31)× 7
V=4.06V
Therefore, the voltage accross the 7 ohm resistor is 4.06V
CHECK THE FIQURE AT THE ATTACHMENT
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Answer:
a) the pattern is bright, b) y = 8.25 mm, c) the distance increases with the wavelength increases
Explanation:
This is a team building exercise to perform interference experiments, where the separation of the slits is d = 1 m = 1 10⁻³ m and the distance to the screen L = 1.5 m
Constructive interference occurs when the path difference is equal to an integer number of wavelengths
d sin θ = m λ
a) The center of the two-ray pattern has the same length so the intensity is MAXIMUM, that is, the pattern is bright
b) to find the distance let's use trigonometry
tan θ= y / L
tan θ =sin θ/cos θ= sin θ
because the angles are small
we substitute
y =
let's calculate
y = 10 550 10⁻⁹ 1.5 / 1 10⁻³
y = 8.25 10⁻³ m
c) for this part the incident light must be white or polychrome light
let's find the distance (y) for some colors, in the first order
Violet λ = 400
y = 1 400 10⁻⁹ 1.5 / 1 10⁻³
y = 6 10⁻⁴ m
green λ = 500 nm
y = 1 500 10⁻⁹ 1.5 / 1 10⁻³
y = 7.5 10⁻⁴ m
yellow λ = 600 nm
y = 1 600 10⁻⁹ 1.5 / 1.10⁻³
y = 9 10⁻⁴ m
lam λ = 700 nm
y = 1 700 10⁻⁹ 1.5 / 1. 10⁻³
y = 1.05 10⁻³ m
violet, green, orange, red
the distance increases with the wavelength increases
d) To find the wavelength we must measure the distance y from the center of the slit for various interference orders and using the equation we can find the wavelength of rationality