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# Use Kirchhoff's rules to determine the potential difference between the points A and D when no current flows in the arm BE of the electric network shown in the figure

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#### Step 1: Current in the circuit [Refer Fig.] There is no current in BE branch, so the potential difference across resistance R1 will be zero.Step 2: Potential difference (VA−VD) To find Potential difference between Points A and D, we can see a path ABED, such that, the branches AB and ED have batteries only and there is no current in branch EB.Therefore, we can directly find the required potential difference without finding the current in all the branches.So, In path ABED VA−6−3−0=VD VA−VD=9 VNote: There is no need to apply KVL to find current in all the branches.

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