Answer:
The right option is option E. None of the answer choices given are totally correct.
Explanation:
All insulators normally have an equal amount of positive and negative charges distributed on their surface.
The amber rod (an insulator) is called negative because after the coming together with fur (another insulator), the amber rod rubs off electrons from the fur onto itself and has an overall more negatively charged particles than positively charged particles on its surface.
The fur in turn becomes positive because it has more positive charges than negative on its surface.
So, the convention allows the now rubbed off amber rod to be called negative.
So, it is evident that none of the answer choices are totally correct, the right answer is more of a mix of some of the answer choices and more!
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Answer:
a) 210 Ω
b) 21 V
c) 0.07 A, 0.03 V
d) VAE = 7 V
VEB = 14 V
VAF = 9 V
VFB = 12 V
Explanation:
a) 100 Ω and 200 Ω are in series, equivalent = 100 + 200 = 300 Ω,
300 Ω and 400 Ω are in series, equivalent = 300 + 400 = 700 Ω
300 Ω and 700Ω are in parallel, so the equivalent resistance between A and B is R where
1/300 + 1/700 = 1/R, get R = 210 Ω
b) Given I = 0.1 A
so VAB = I * R = 1 * 210 = 21.0 V
c) I₁ + I₂ = I = 0.1, so I₂ = 0.1 - I₁
I₁ * 300 = I₂ * 700
I₁ * 300 = (0.1 - I₁) * 700
get I₁ = 0.07 A, I₂ = 0.1 - I₁ = 0.03 A
d) VAE = I₁ * 100 = 7 V
VEB = I₁ * 200 = 14 V
VAF = I₂ * 300 = 9 V
VFB = I₂ * 400 = 12 V
Answer:
Same direction to produce maximum magnitude and opposite direction to produce minimum magnitude
Explanation:
Let a be the angle between vectors A and B. Generally when we add A to B, we can split A into 2 sub vectors, 1 parallel to B and the other perpendicular to B.
Also let A and B be the magnitude of vector A and B, respectively.
We have the parallel component after addition be
Acos(a) + B
And the perpendicular component after addition be
Asin(a)
The magnitude of the resulting vector would be




As A and B are fixed, the equation above is maximum when cos(a) = 1, meaning a = 0 degree and vector A and B are in the same direction, and minimum with cos(a) = -1, meaning a = 180 degree and vector A and B are in opposite direction.
Answer:
15 V
Explanation:
From the question,
For series connection: (i) Both resistor have a common current flowing through the (ii) The combined resistance = R1+R2
Rt = R1+R2.................. Equation 1
Given: R1 = 5 ohms, R2 = 7.5 ohms.
Rt = 5+7.5 = 12.5 ohms.
Applying Ohm's law,
V = IRt................... Equation 2
Where V = Voltage, I = current.
make I The subject of the equation
I = V/Rt.............. Equation 3
Given: V = 25 V, Rt = 12.5 ohms.
Substitute into equation 3
I = 25/12.5
I = 2 A.
Now,
Voltage drop across the 7.5 ohms resistor = R2×I
Voltage drop across the 7.5 ohms resistor = 7.5×2
Voltage drop across the 7.5 ohms resistor = 15 V