Answer:
voltage across = 1.6 V
Explanation:
given data
resistance R = 57.61 Ω
capacitance c = 13.13 mF = 13.13 ×
F
inductance L = 196.03 mH = 0.19603 H
fixed rms output Vrms = 23.86 V
to find out
voltage across circuit
solution
we know resonant frequency that is
resonant frequency = 1 / ( 2π√(LC)
put the value
resonant frequency = 1 / ( 2π√(0.19603×13.13 ×)
resonant frequency f = 3.1370 HZ
so current will be at this resonant is
current = Vrms / R
current = 23.86 / 57.61
current = 0.4141 A
and
so voltage across will be
voltage across = current / ( 2π f C )
voltage across = 0.4141 / ( 2π ( 3.1370) 13.13 × )
voltage across = 1.6 V
Answer:
In the - j direction, that is negative of the y-axis
Explanation:
As typed in the question, the position of the object is given by the expression in three component ( i, j, k) form:
r (t) = 5 i - (t + 1 ) j + t^3 k
and since the velocity is the derivative of position with respect to time, by doing the derivative of this expression we get:
v(t) = 0 i - 1 j +3 t^2 k
which for the initial velocity requested (that is at time zero) we have:
v(t) = 0 i - 1 j +3 (0)^2 k = = 1 j
Then the direction of the initial velocity is entirely in the direction of the j versor, that is pointing to the negative of the y-axis.
Answer:
Length of Eiffel tower, when the temperature is 35 degrees = 300.21 m
Explanation:
Thermal expansion is given by the expression
Here length of Eiffel tower, L = 300 m
Coefficient of thermal expansion, α = 0.000012 per degree Celsius
Change in temperature, = 35 - (-24) = 59degrees Celsius
Substituting
Length of Eiffel tower, when the temperature is 35 degrees = 300 + 0.2124 = 300.21 m
Answer:
It will take 126.84 years to pay off the debt
Explanation:
Total debt = $14,000,000,000,000.00
Paid $3,500 per second
Number of seconds to pay off the debt will be:
14 ×10^12 /3500
Number of seconds = 4× 10^9 seconds
Converting seconds to year:
I second = 3.171 ×10^-8 calendar year
Therefore, number of years it will take to pay off $14 Trillion =( 4 ×10^9 ) × ( 3.171 × 10^-8)
Number of years = 126.84 years
