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Question

A Wheatstone bridge with \( R_1 = 16 \, \Omega \), \( R_2 = 32 \, \Omega \), \( R_3 = 24 \, \Omega \),
\( R_4 = 48 \, \Omega \) has a \( 20 \, \text{V} \) battery across AC and a galvanometer (\( 5 \, \Omega
\)) across BD. What is the current through the galvanometer?

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Explanation

**Unbalanced bridge** has potential difference between galvanometer nodes, current direction determined by which node higher potential, i.e., if R₁/R₂ > R₃/R₄, left node higher, current flows one way, else opposite. Galvanometer deflection indicates imbalance magnitude. Check balance: (R₁/R₂) = (16/32) = 0.5 , (R₃/R₄) = (24/48) = 0.5 . Bridge is balanced. Since balanced, I_g = 0 A . Applying I = n e A v_d, R = ρ l/A, R_t = R₀[1+αΔT], Kirchhoff's ΣI=0, ΣV=0, R_eq series/parallel, V = ε - I r and P = I²R, evaluation yields 0 A,

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