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A circuit using a potentiometer and battery of negligible internal resistance is set up as shown in Fig. to develop a constant potential gradient along the wire AB. Two cells of emfs epsi_1 and epsi_2are connected in series as shown in combinations (1) and (2). The balance points are obtained respectively at 400 cm and 240 cm from the point A. Find(i) epsi_1/epsi_2 , (ii) balancing length for the cell epsi_1 only . |
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Answer» Solution : If k be the potential gradient along the potentiometer wire, then as per data given we have : `epsi_1 + epsi_2 = k xx 400 CM `...(i) and `epsi_2- epsi_1= k xx 250 cm`...(ii) `rArr epsi_1 = 75k`and`epsi_2 = 325 k` ` therefore epsi_1/epsi_2 = (75k)/(325k) = 3/13` If BALANCING length for the cell `epsi_1`only be L cm, then `epsi_1= lk `. but `epsi_1 = 75k rArr l = 75 cm ` |
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