Find the currents I_1, I_2, and I_3 in the circuit if epsilon_1 = 2.0 V and epsi

Question

Find the currents I_1, I_2, and I_3 in the circuit if epsilon_1 = 2.0 V and epsilon_2 = 6.0 V, R_1 = 100 Ohm; R_2 = 200 Ohm; R_3=300 Ohm The primary coil of 80% efficiency step-up transformer has turns ratio 1:20 and is connected a 12-V line with a fuse that limits the maximum current ax I_max =5.0 A in it. Find (a) the voltage in the secondary coil. (b) the current in the secondary coll. A square loop of 25 cm on a side is placed in a uniform magnetic field; The magnetic directed parallel to the plane of the loop. It look 0.05 see an external force to turn the loop axes to become perpendicular to the magnetic field. An average EMF = 5.5 V was produce strong was the magnetic field B? An ion with an q/m ratio of 5.6 times 10^6 C/kg enters a magnetic field at 30* with respect to B = 2 travels in a circular path of radius 35.0 cm. what is ion's entering velocity? A wire 210.0 cm long moves with a speed of 28.5 m/s at theta = 60 degree with respect to the the a uniform magnetic field of 0.30 T. If the wire and the field B are mutually perpendicular other, what emf is produced in the wire? A resonant current of 25.0 mA appeals in the circuit with a capacitor C = 400 mu F of capacitance, when the generator is producing 110 V electromotive force at a frequency of Find: a. the resistance R. b. inductance L. The circuit consists of: R = 140.0 Ohm; C =210 mu F; V= 110 V; L = 0.5mH. Find: a. the frequency at which the current is at resonance; b. that resonance current: c. the potential difference across each element.

Explanation / Answer

R = 140 ohm

L = 0.5 mH

C = 210 uF

V = 110 V

a) Resonance frequency = f = 1/2pi*sqrt(LC) = 1/(2pi*sqrt(0.5*10^-3*210*10^-6)) = 491.2 Hz

b) At resonance, XL = Xc ====> Z = R

Current = I = V/Z = V/R = 110/140 = 0.786 A

c) At resonance, VL = Vc = I*XL = 0.786*2pi*491.2*0.0005 = 1.21 V

VR = 110 - 1.21 = 108.79 V

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