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Find the (i) resonant and (ii) anti-resonant frequencies for series and parallel LCR circuits, respectively with the following data: L=10 mH, C=10 μF and R=1 kΩ.
On a different day at local midnight, Orion the Hunter was found to have just crossed the
local meridian too. Which constellation is the Sun approximately found in? Hint: at local
midnight, the hour angle of the sun is defined to be 12h if we were to set 0h to be at noon.
Find the angular frequency in a RC-circuit at which the phase difference between the current and voltage becomes 45˚.
One fateful winter evening, Orion the Hunter was found to have just crossed the local meridian.
Given that Alnilam, the middle star of the 3 along the “Belt of Orion” has RA/DEC: 5h 36
min/ ́1
̋1211
2
, what is the local sidereal time at that instance?
A charged Q of 2.5uC is in two dimensional electric field with horizontal and vertical components of 35.0 N/C and 52.0 N/C, respectively. Find the magnitude and direction of the electric force on charge Q.
Two point charges q1 = +2 N.C and q2= -3N.C are separated in air. Where is the neutral point?
2. The capacitors have values C₁ = 2.0 μF and C₂ = 4.0 μF, C₂ = 5.0 μF C4 = 7.0 μF and the potential difference across the battery is 9.0 V. Assume that the capacitors are connected in series.
a) Find the equivalent capacitance of the circuit.
b) Solve for the potential difference across each capacitors.
3. Given the same problem in #2. Assume that the capacitors are connected in parallel.
a) Find the equivalent capacitance of the circuit.
b) Solve for the charge across each capacitors.
The capacitors have values C₁ = 2.0 μF and C₂ = 4.0 μF, C₂ = 5.0 μF C4 = 7.0 μF and the potential difference across the battery is 9.0 V. Assume that the capacitors are connected in series.
a) Find the equivalent capacitance of the circuit.
b) Solve for the potential difference across each capacitors.
b) A 20kg mass of Aluminum of specific heat Capacity OF 900kg /k was heated from 2k to 12k. Determine the
amount of heat Energy required
A person’s right eye can see objects clearly only if they are between 25 cm and 75 cm away. (a) What power of contact lens is required so that objects far away are sharp? (b) What will be the near point with the lens in place
