For the RC circuit shown,the resistance is R | vedclass

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(D) According to Kirchhoff's voltage law for the $RC$ circuit,the sum of the potential drops across the resistor and the capacitor must equal the elec

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$35$

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(D) According to Kirchhoff's voltage law for the $RC$ circuit,the sum of the potential drops across the resistor and the capacitor must equal the electromotive force of the battery:$V_R + V_C = \xi$The potential drop across the resistor is given by $V_R = I 	imes R$. Given $I = 0.50\ A$ and $R = 10.0\ \Omega$,we have:$V_R = 0.50\ A 	imes 10.0\ \Omega = 5.0\ V$Substituting this into the voltage equation:$5.0\ V + V_C = 12\ V$$V_C = 12\ V - 5.0\ V = 7.0\ V$The charge $q$ on the capacitor is given by $q = C 	imes V_C$. Given $C = 5.0\ F$ and $V_C = 7.0\ V$:$q = 5.0\ F 	imes 7.0\ V = 35\ C$

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