A series circuit contains an 80-μF capacitor, a 0.020-H inductor, and a switch. The resistance of the circuit is negligible. Ini
tially, the switch is open, the capacitor voltage is 50 V, and the current in the inductor is zero. At time t = 0 s, the switch is closed. A) The time t at which the magnetic energy of the inductor first reaches its maximum value is?
B) The maximum current in the circuit is?
C) When the current is 1.5 A, the charge on the capacitor, in µC, is?
D) When the capacitor voltage is 30 V, the rate of change of the current is?
E) At a given instant, the magnetic energy of the inductor is twice the electrostatic energy of the capacitor. At that instant, the current is?
B) The maximum current in the circuit is?
C) When the current is 1.5 A, the charge on the capacitor, in µC, is?
D) When the capacitor voltage is 30 V, the rate of change of the current is?
E) At a given instant, the magnetic energy of the inductor is twice the electrostatic energy of the capacitor. At that instant, the current is?
1 answer:
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The heat released by the water when it cools down by a temperature difference 
is
where
m=432 g is the mass of the water
is the specific heat capacity of water
is the decrease of temperature of the water
Plugging the numbers into the equation, we find
and this is the amount of heat released by the water.
where
m=432 g is the mass of the water
Plugging the numbers into the equation, we find
and this is the amount of heat released by the water.
10.67m/s²
32N
Explanation:
Given parameters:
Mass of the body = 3kg
velocity of the mass = 4m/s
radius of circle = 0.75m
Unknown:
centripetal acceleration = ?
centripetal force = ?
Solution:
The centripetal force is the force that keeps a radial body in its circular motion. It is directed inward:
Centripetal acceleration =
v is the velocity of the body
r is the radius of the circle
putting in the parameters:
Centripetal acceleration =
Centripetal acceleration = 10.67m/s²
Centripetal force = m
m is the mass
Centripetal force = mass x centripetal acceleration
= 3 x 10.67
= 32N
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Answer:
26 days
Explanation:
m = 9.4×1021 kg
r= 1.5×108 m
F = 1.1×10^ 19 N
We know Fc =
==> 1.1 × = (9.4 ×
×
) ÷ 1.5 ×
==> 1.1 × =
× 6.26×
==> = 1.1 ×
÷ 6.26×
==> = 0.17571885 ×
==> v= 0.419188323 × m/sec
==> v= 419.188322834 m/s
Putting value of r and v from above in ;
T= 2πr ÷ v
==> T= 2×3.14×1.5× ÷ 0.419188323 ×
==> T = 22.472× 100000 = 2247200 sec
but
86400 sec = 1 day
==> 2247200 sec= 2247200 ÷ 86400 = 26 days