Question
A coil takes 4 A from a 12 V DC source. When connected
to a 12 V, 50 rad/s AC source, the current is 2.4 A. The inductance of the coil is:Solution
First, consider the DC circuit. The coil takes 4 A from a 12 V DC source.In a DC circuit, the inductor acts as a short circuit (resistance is zero), so the current is limited only by the resistance R of the coil: VDC = IDC R 12 = 4 × R R = 12 / 4 = 3 Ω Now, consider the AC circuit. The coil is connected to a 12 V, ω = 50 rad / s AC source, and the current is IAC =2.4 A. In an AC circuit with a coil (inductor and resistor), the impedance Z determines the current: VAC = IACZ 12 = 2.4 × Z Z = 12 / 2.4 = 5 Ω The impedance Z of a series RL circuit is given by: where R is the resistance, L is the inductance, and ω is the angular frequency. We have Z = 5 Ω, R = 3 Ω, and ω = 50rad/s. Substitute these values into the impedance formula:
Square both sides: 25 = 9 + 2500L2 16 = 2500L2 L2 = 16/2500 Taking square root both sides: L = 4 / 50 L = 0.08 H
What is the practice of growing ground cover plants closely and trimming them to form designs or alphabetical letters?
Not lesg than one-third of the total number of seats in all the three tiers of panchayat shall be roserved for women - It provides
Which nutrient deficiency is responsible for "Khaira disease" in paddy?
Which of the following crop does not fall under the category of Rabi season crops, referring to those agricultural crops that are sown in winter and har...
Given below are two statements:
Statement I
Circulation of air over tropics is dominated by Hadley cell and Walker cell
Statemen...
To meet the new challenges in agriculture through NARS strong and supportive ______________ policies are very imperative.
Neolissochilus hexagonolepis is commonly known as
Toxic factor found in flaxseed is
Orchids growing on shrubs are known as______
Black tip of mango is caused due to ______