Answer:
R2 = 10.31Ω
Explanation:
For two resistors in parallel you have that the equivalent resistance is:
(1)
R1 = 13 Ω
R2 = ?
The equivalent resistance of the circuit can also be calculated by using the Ohm's law:
(2)
V: emf source voltage = 23 V
I: current = 4 A
You calculate the Req by using the equation (2):
Now, you can calculate the unknown resistor R2 by using the equation (1):
hence, the resistance of the unknown resistor is 10.31Ω
Answer:
Explanation:
Given that,
A point charge is placed between two charges
Q1 = 4 μC
Q2 = -1 μC
Distance between the two charges is 1m
We want to find the point when the electric field will be zero.
Electric field can be calculated using
E = kQ/r²
Let the point charge be at a distance x from the first charge Q1, then, it will be at 1 -x from the second charge.
Then, the magnitude of the electric at point x is zero.
E = kQ1 / r² + kQ2 / r²
0 = kQ1 / x² - kQ2 / (1-x)²
kQ1 / x² = kQ2 / (1-x)²
Divide through by k
Q1 / x² = Q2 / (1-x)²
4μ / x² = 1μ / (1 - x)²
Divide through by μ
4 / x² = 1 / (1-x)²
Cross multiply
4(1-x)² = x²
4(1-2x+x²) = x²
4 - 8x + 4x² = x²
4x² - 8x + 4 - x² = 0
3x² - 8x + 4 = 0
Check attachment for solution of quadratic equation
We found that,
x = 2m or x = ⅔m
So, the electric field will be zero if placed ⅔m from point charge A, OR ⅓m from point charge B.
The generation of more potent telescopes to observe the Universe made things easier/better for us to research and explore our solar system.
<h3>What are technological advances in Astronomy research?</h3>
The technological advances in Astronomy research are all those devices and strategies aimed at enhancing our ability to explore the Universe, which is represented by telescopes that generate high-resolution images.
Therefore, with this data, we can see that technological advances in Astronomy research are associated with the development of potent telescopes which facilitate the observation of other celestial bodies from the Earth.
Learn more about technological advances in Astronomy here:
brainly.com/question/20797642
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The work done is
Work Done = Change in Kinetic Energy (ΔKE)
<u>Explanation</u>
In first 1 hour it travels 72 km
So, Velocity =
or, Initial Velocity (u) = 20 m/s
Similarly for the next hour it covers 90 km
So, Velocity =
or, Final Velocity (v) = 20 m/s
Work done = Change in Kinetic Energy (ΔKE)
Work done = ΔKE =
ΔKE =
= = 281250 joule
=