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Step 1: Total resistance RR.

R=R1+R2R = R_1 + R_2 R=3 Ω+5 ΩR = 3\,\Omega + 5\,\Omega R=8 ΩR = 8\,\Omega

Step 2: Total current II.

I=URI = \frac{U}{R} I=12 V8 ΩI = \frac{12\,\text{V}}{8\,\Omega} I=1.5 AI = 1.5\,\text{A}

Step 3: Voltage across R1R_1, U1U_1.

U1=IR1U_1 = I R_1 U1=1.5 A×3 ΩU_1 = 1.5\,\text{A} \times 3\,\Omega U1=4.5 VU_1 = 4.5\,\text{V}

Step 4: Voltage across R2R_2, U2U_2.

U2=IR2U_2 = I R_2 U2=1.5 A×5 ΩU_2 = 1.5\,\text{A} \times 5\,\Omega U2=7.5 VU_2 = 7.5\,\text{V}

Step 5: Power dissipated in R1R_1, P1P_1.

P1=U1IP_1 = U_1 I P1=4.5 V×1.5 AP_1 = 4.5\,\text{V} \times 1.5\,\text{A} P1=6.75 WP_1 = 6.75\,\text{W}

Step 6: Power dissipated in R2R_2, P2P_2.

P2=U2IP_2 = U_2 I
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