The currents (Amperes)
in the two cases are calculated as power/voltage: <span>
510000W / 12000V = 42.5 A
510000W / 47000V = 10.85 A
<span>And that the power wasted in the two cases is calculated as current^2
x resistance:
(42.5 A)^2 (2.5 Ohms) = 4,515.625 W
(10.85 A)^2 (2.5 Ohms) = 294.30625 W
<span>So the amount of power saved is the difference:
<span>4,515.625 - 294.30625 = 4221.32 Watts</span></span></span></span>
<span>This is the main reason
why distribution grids aim to operate at the highest voltages possible.</span>
4. No motion
5. Threre will be movement in one direction or another
Answer:
a)
two like charges always repel each other while two unlike charges attract each other. Since the spring stretches by 0.039 m, the charges have the same sign. both charges are positive(+) or Negative (-)
b)
both q1 and q1 are 8.35 × 10⁻⁶ C or -8.35 × 10⁻⁶ C
Explanation:
Given that;
L = 0.26 m
k = 180 N/m
x = 0.039 m
a)
we know that two like charges always repel each other while two unlike charges attract each other. Since the spring stretches by 0.039 m, the charges have the same sign.
b)
Spring force F = kx
F = 180 × 0.039
F = 7.02 N
Now, Electrostatic force F = Keq²/r²
where r = L + x = ( 0.26 + 0.039 )
we know that proportionality constant in electrostatics equations Ke = 9×10⁹ kg⋅m3⋅s−2⋅C−2
so from the equation; F = Keq²/r²
Fr² = Keq²
q = √ ( Fr² / Ke )
we substitute
q = √ ( 7.02 N × ( 0.26 + 0.039 )² / 9×10⁹ )
q = √ ( 7.02 N × ( 0.26 + 0.039 )² / 9×10⁹ )
q = √ (0.627595 / 9×10⁹)
q = √(6.97 × 10⁻¹¹)
q = 8.35 × 10⁻⁶ C
Therefore both q1 and q1 are 8.35 × 10⁻⁶ C or -8.35 × 10⁻⁶ C
Answer:
0.2 m
Explanation:
magnetic force = centripetal force
qvB = mv² / r
cancel v on both side and make r subject of the formula
r₁ = mv / qB where m = mass of ion, v = velocity of the ion
r₁ = ( 235 × 1.67 × 10⁻²⁶ × 2.81 × 10⁵) / ( 1.6 × 10⁻¹⁹ × 0.605 T) = 1139.24 × 10⁻² = 11.4 m
r₂ = ( 238 × 1.67 × 10⁻²⁶ × 2.81 × 10⁵) / ( 1.6 × 10⁻¹⁹ × 0.605 T) = 1153.78 × 10⁻² = 11.5 m
D, distance between the impact points formed = d₂ - d₁ where d₂ and d₁ represent the diameters of the charged ions
D = (2 × 11.5 m) - ( 2 × 11.4) = 2 ( 11.5 - 11.4) = 0.2 m