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Figure shows an experimental set up to find the value of an unknown resistance (R_x) using a meter bridge. AB is the uniform meter bridge wire of length L = 100 cm. When the sliding jockey is placed at J (AJ = x), the galvanometer shows zero deflection. AJ = x is known as balancing length and is measured using a scale having 1 mm as least count. (a) In one experiment known resistance R was taken to be 20 Omega and balancing length was measured as x = (20.0 pm 0.1) cm. find the value of R_(x). (b) Show that fractional error in calculated value of R_(x) is least when x =(L)/(2). What shall we do to ensure that x is close to L//2 ? |
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