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n the capacitance bridge shown in the figure (Figure 1), a voltage V0 is applied

ID: 1883018 • Letter: N

Question

n the capacitance bridge shown in the figure (Figure 1), a voltage V0 is applied and the variable capacitor C1 is adjusted until there is zero voltage between points a and b as measured on the voltmeter.

Problem 24.35 15 of 17> Constants Periodic Table Part A In the capacitance bridge shown in the figure (Figure 1), a voltage Vo is applied and the variable capacitor C1 is adjusted until there is zero voltage between points a and b as measured on the voltmeter Determine the unknown capacitance C iC1-7.6AF and the fixed capacitors have C2-14.0aF and C3-9.0AF. Assume no charge flows through the voltmeter. Express your answer using two significant figures Figure ) 1011 ? C1 HF Submit Request Answer C2 C3 Provide Feedback Next>

Explanation / Answer

We know that this is related to the Wheatstone bride formation.

As per the wheatstone bridge, the formula for capacitance is (C1 / C2 )= (C3/C4)

Here in our problem, given capacitances are

C1 = 7.6 F

C2 = 14 F

C3 = 9 F

As per the circuit ,

C1 / Cx = C3 /C2

(7.6 F) / (Cx) = ( 9 F / 14 F)

(7.6x10-6) = 0.643 Cx

Cx =(7.9 x10-6)/ 0.9

Cx = 0.118 F