Find the value of the current through the 2,O | vedclass

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(C) The circuit consists of two separate loops connected by a $2\,\Omega$ resistor. Let the potential at the node to the left of the $2\,\Omega$ resis

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$0$

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(C) The circuit consists of two separate loops connected by a $2\,\Omega$ resistor. Let the potential at the node to the left of the $2\,\Omega$ resistor be $V_1$ and the potential at the node to the right be $V_2$. For the left loop,the current flows from the $10\,V$ battery through the $5\,\Omega$ resistor. Since there is no return path for the current to complete the circuit through the $2\,\Omega$ resistor (the circuit is open at the right side of the left loop),no current flows through the $2\,\Omega$ resistor from the left side. Similarly,for the right loop,the current flows from the $20\,V$ battery through the $10\,\Omega$ resistor. Since the circuit is open at the left side of the right loop,no current flows through the $2\,\Omega$ resistor from the right side. Therefore,the net current through the $2\,\Omega$ resistor is $0\,A$.

Find the value of the current through the $2\,\Omega$ resistance for the given circuit. (in $,A$)

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