isEquipment: A multimeter A 30-V DC power supply Conductive carbon sheet a a Sil
ID: 3308272 • Letter: I
Question
isEquipment: A multimeter A 30-V DC power supply Conductive carbon sheet a a Silver pen a Cable sets The following items must be brought by you and will not be supplied. a A ruler a A pair of compasses A scientific calculator Procedure: PART A: 1. Using metal pushpins mount a piece of conductive carbon paper onto the corkboard 2. Using your pair of compasses draw two concentric circles whose radi are 2.5 cm and 7 cm. Note that the paper will be used for another configuration too. SO place your drawings in one half of the carbon paper and leave the other haif clean for part B 3. Shake the conductive ink pen several times when its cap is on, feeling that the metallic ball inside the pen is moving up and down. sides, press it against the paper and push its tip to If the line is 4. Squeezing the pen from bring the ink out. Go through the circular paths you have drawn before, defining the circles with silver ink. The ink should be continuous. thin and there exists some discontinuity, go over it again. The silver will dry in about 5 minutes, however it will take 10-15 minutes to achieve full conductivity s. Set up the circuit given in Fig. 2 where the negative terminal of the power supply is connected to the inner ring and positive terminal to the outer ring. Apply 20 V between the inner and outer rings. Then, connect one of the probes of the voltmeter to a terminal of the power supply. The remaining free probe will serve for tracing and recording the electric potential in the region between 6. Divide the 4.5 cm separation between the inner and outer ring into 0.5 cm 7. Measure and record the potential values as a function of radius at equal 8. Since you measured the potential at discrete points compute the average field the rings. intervals intervals of 0.5 cm starting from the inner circle. Tabulate your data in Table 1. over successive intervals and for that use the Lagrange's formula for numerical differentiation. Hence, calculate the electric field as a derivative of V (E-dV/dr) numerically, using Eq. 2 and fill in Table 1. 25Explanation / Answer
Equipotential lines are circles. Thus the variation of potential V with r remains unchanged along any radial direction. i.e. it is independent of the direction of the radial vector chosen. the experiment will confirm this prediction.
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