In a series circuit, the total resistance is the sum of the individual resistances, so ( R_{total} = 15 , \Omega + 10 , \Omega = 25 , \Omega ). Using Ohm's Law (( V = IR )), we first find the total current: ( I = \frac{V}{R_{total}} = \frac{75 , V}{25 , \Omega} = 3 , A ). The voltage across each device can be calculated as ( V_1 = I \cdot R_1 = 3 , A \cdot 15 , \Omega = 45 , V ) for the first device and ( V_2 = I \cdot R_2 = 3 , A \cdot 10 , \Omega = 30 , V ) for the second device.
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