(a) Consider the Wheatstone bridge shown in the Figure. Calculate ${v}_{a}, {v}_{b}$ , and ${v}_{ab}$ .

(b) Rework part (a) if the ground is placed at a instead of o.

Question

(a) Consider the Wheatstone bridge shown in the Figure. Calculate {v}_{a}, {v}_{b}, and {v}_{ab}. (b) Rework part (a) if the ground is placed at a instead of o.

Accepted Answer

(a) Using voltage division,

[latex]{v}_{a}=\frac{12}{12+8} (25)= 15[/latex] V

[latex]{v}_{b}=\frac{10}{10+15} (25)= 10[/latex] V

[latex]{v}_{ab}={v}_{a}-{v}_{b}=15-10 = 5[/latex] V

(b) [latex]{v}_{a}=0[/latex];

[latex]{v}_{ac} = –(8/(8+12))25 = –10[/latex]V;

[latex]{v}_{cb} = (15/(15+10))25 = 15[/latex]V.

[latex]{v}_{ab} = {v}_{ac} + {v}_{cb} = –10 + 15 = 5[/latex]V.

[latex]{v}_{b} = –{v}_{ab} = –5[/latex]V.

Question : (a) Consider the Wheatstone bridge shown in the Figure. Calc...