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A: Charge = q = 12.5micro coulomb Radius = r = 27.5 cm
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Ohm's law
Ohm’s law is a prominent concept in physics and electronics. It gives the relation between the current and the voltage. It is used to analyze and construct electrical circuits. Ohm's law states that the voltage across a conductor is directly proportional to the current flowing through it.
Path of Least Resistance
In a series of alternate pathways, the direction of least resistance is the actual or metaphorical route that offers the least resistance to forwarding motion by a given individual or body.
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- In the circuit shown in figure 1, epsilon is equal to 41.0 V, R1= 4 ohms, R2= 6 ohms, and R3= 3 ohms. (A) what is the potential difference Vab between points a and b when the switch S is open? (B) for the 4 ohm resistor, calculate the current through the resistor with S open. (C) for the 6 ohm resistor, calculate the current through the resistor with S open. (D) for the 3 ohm resistor calculate the current through the resistor with S open. (E) what is the potential difference Vab between points a and b when the switch S is closed? (F) for the 4 ohm resistor calculate the current through the resistor with S closed. (G) for the 6 ohm resistor calculate the current through the resistor with S closed (H) for the 3 ohm resistor calculate the current through the resistor with S closed. (I) for each resistor, does the current increase or decrease when S is closed?What is the equivalent resistor between the terminals a and b if you replace R1 by 38 Ohm and R2 by 34 Ohm ? This combination of resistors goes to infinity by repeating itself. Write your answer in units of Ohm. No decimal points is necessary. Maximum od 4% of error is accepted in your answer.In the schematic below two batteries are in series and drive current through the circuit as shown. The first resistor has a voltage drop AV₁ = 1.2 V, the middle resistor has a resistance of R = 64, and the last resistor has a voltage drop AV₂ = 1 V. Given these parameters, what is the magnitude of current flowing through the circuit in milli-amps (mA)? Giver your answer to 3 significant figures. AV, ww 3.0 V 4.5 V ww ΔV, ww R
- connected con sist of five resis tors 7.a A circit as below. Determine the effective Tesistance in the circuit. RI RS- R2 R+ Ginen R, = sor, Rz=25Jr, R3= 30r, R¢=60r, Rs= 70r iD Wlhat is Hhe current is Hhe circuit iç the potential the resistors is 24 V? CICcross What is the potential that ccin be tapped across Rs? b.A circuit consist sisc capacitors connicted as below, detemine the effective capacitalnce. (3 G= SmF, G= Smf, G= 6mF, C4 = 6mF, Gaigg fo Cs= 8mF, C6 = 8 mF. What is the energy stored in the capacitors in ;circuit if the potential across %3D the the capacitors is 24V? C- lwo charges +3C and t 5C are placed 20Cm from in Yacuum- Wlhat magnitude of force will. their Centres they ebcert on each other, If Hhe sccond charge hes its polacity changed to negative (-sc). Inlliat would be the nature of the force ? Will there be a change in magnitude ? LPermitivity of free space a 8.8sx 10 -12For the circuit shown in the figure below, determine voltages (voltage drops) Vị, V2 , absolute voltage Va at node a versus ground, and circuit current I. Express voltages in volts and current in milliamperes. Keep three significant digits. You are given Vs = 10 V. + + V, - 8 kO a + 14 4 kΩ. V2 Vs 4 ΚΩΣ OV -40 ww 3Q 50 What is the electric potential difference of the circuit if the current is 0.1? Answer:I Check
- The electric current I in a circuit shown in the figure was measured as a function of the resistance R in the circuit. The relationship between I and R is given by ?=??+? where ? is the emf of the battery in the circuit and r is the internal resistance of the battery. a) Linearise the equation above, and state which variable you would plot on the x-axis and which on the y-axis. b) How are ? and r related to the gradient and/or y-intercept of the graph?Circuit Problem: Express each labelled voltage and current (e.g., vx, ix) in terms of the resistances and source currents and voltages (e.g., R0).Your lab partner builds a circuit consisting of a power supply, voltage probe, current probe, and two resistors in an unknown configuration. By measuring the voltage and current, you can create a plot of I vs. V. By linearly fitting your plot you get the following fit, Slope: m = 0.0027 Om = 0.0003 Intercept: 6 = 0.002 A Ob = 0.003 A a) From your fit, what is the equivalent resistance and uncertainty of the resistor configuration? b). If your Lab partner calculates the theoretical value for the resistor in series as Reg = (360 ± 15) n, can you conclude your resistor configuration in part a is in series? Explain. c) If the resistors used in the experimental setup had the values R1 = (390 ± 20%) N and R2 = (150 ± 20%) N, what is the theoretical value for the resistors in series?
- During an experiment to verify Ohm's law, the voltage supplied and the current through a circuit are measured. [Voltage is measured in Volt (V) and current in Ampere (A)]. V www R A Battery The measured value of the current is I = 2.8 ± 0.1 A and that of the voltage is V = 18 ± 0.4 V. The resistance of the circuit %3D %3D (in Q) can be calculated using the formula, R =V/I, Calculate the, a) Resistance (in Q) = b) Fractional uncertainty in the resistance = c) Absolute uncertainty (in 2) in the resistance=In the circuit shown in the figure, VA = VB = 22.0 V and R₁ = R₂ = R₁ = R₁ = R₁ = 100.0 2. Current Is flows up through Rs, and Is = 0.0550 A. Determine the current 14 through R₁. Assume the direction of positive current flow is downward through R₁. 1₁ = Determine the voltage V₂ across R₂. V₂ = Determine the power P, dissipated by R.. P, = A W R₁ R₂ www www R₁ R₁Three resistors, R1=40, R2=30, R3=70 are connected to a battery as shown in the figure below. If the battery voltage is 44Volts, determine the power dissipated by R1. Express your answer in units of Watts, using zero decimal places. R2 R1 ww- R3 V