She was charming, clever, musical and a friend of Leibnitz. In the summer of 1684, the Elector of Brandenburg asked for her hand on his son's behalf, and whom she married in 8 October 1684.

In 1687, Sophia Dorothea and her husband went to visit her home-land; but the visit seemed to have been inspired by fear for his step-mother, considered to be the wicked step-mother personified; and
when Ludwig, his younger brother, died after eating an orange in her apartment, the step-mother was suspected of having had him poisoned. Sophia Dorothea and Friedrich immediately left, for after all only
Friedrich's life stood between the crown of Brandenburg and the step-mother's sons. The Elector, his father, was furious and ordered them home. After two short-lived sons, an heir, Friedrich Wilhelm I,
was born on 14 August 1688.
In 1692, 'Figuelotte', as she was called, became aware of her brother, Max, intending to oust the Government of Hanover as their father had refused him the inheritance he expected. In November 1692
she warned her father and, on 5 December, her brother was arrested together with the co-conspirators, the Moltke's and Blume, who confessed to a good deal more than what Figuelotte had known.Her husband, Friedrich I, had a great trust in her, to the point of many people suspecting that she wanted to rule him. In 1699, Leibnitz was officially invited to Berlin where he became the first president of the Berlin Academy of Sciences. And on the 18 January 1701, Figuelotte's husband, having been Elector since 1688, became King in Prussia. Figuelotte looked quite splendid for their coronation; but when, during the long ceremony, she took some snuff, she received a note from her husband, "Madame, remember where and who you are".
However, being Queen did not last long for her as she died four years later. At the end of her life there had been a diplomatic quarrel between Berlin and Hanover which prevented her from seeing her
mother. Also at this time, her husband officially appointed Madame von Wartenberg as his maitresse-en-titre. Even though it was only an empty title, Madame von Wartenberg amassed a fortune and was disliked by Figuelotte, who, when forced to be in Madame's presence, would address her in French, a language Madame did not comprehend.
Together with a small retinue, Figuelotte went to visit her mother who, however, was ill and unable to attend the ball given in Figuelotte's honour. As well, Figuelotte herself became ill and took to her bed. On 1st February 1705, her mother wrote to Figuelotte's husband informing him that she had been bled to ease her breathing and was now out of danger. However, that very evening she died.
 

Source: Leo van de Pas