Step-by-step explanation:
Given that,
Three resistors 4ohms 6ohms 8ohms are connected in series and are connected to cell of EMF 60volt.
The equivalent resistance in series combination is given by :
R = R₁ + R₂ +R₃
Put all the values,
R = 4 + 6 + 8
R = 18 ohms
Let I is the current in circuit. So,
![I=(V)/(R)\\\\I=(60)/(18)\\\\I=3.33\ A](https://img.qammunity.org/2022/formulas/physics/college/zqo6d0uf92b88nubohgdzx03ip8ae9t6t2.png)
Potential difference in 4 ohms,
![V_1=IR_1\\\\V_1=3.33* 4\\\\=13.32\ V](https://img.qammunity.org/2022/formulas/physics/college/pm40fu5h5hs360dc9fhb8mbwamrm8vpq1g.png)
Potential difference in 6 ohms,
![V_2=IR_2\\\\V_2=3.33* 6\\\\=19.98\ V](https://img.qammunity.org/2022/formulas/physics/college/7j0mtxj0pc9cs7dg3v42adh5eu9xvhloy5.png)
Potential difference in 8 ohms,
![V_3=IR_3\\\\V_3=3.33* 8\\\\=26.64\ V](https://img.qammunity.org/2022/formulas/physics/college/wrtv0yizvaoi7qexo208j81aje4ah0x2v6.png)
Terminal potential difference in circuit is :
V = IR
Put all the values,
V = 3.33 × 18
V = 59.94 volts
Hence, this is the required solution.