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Question Number 84845 by Rio Michael last updated on 16/Mar/20
Commented by Rio Michael last updated on 16/Mar/20
![The circuit above shows how resistors and cells can be connected given that a,b and c represent currents. Using kirchoffs laws, a) find the values of a,b and c. [these are not usual symbols] b) Calculate the pd (potential difference) between A and B.](Q84846.png)
$$\mathrm{The}\:\mathrm{circuit}\:\mathrm{above}\:\mathrm{shows}\:\mathrm{how}\:\mathrm{resistors}\:\mathrm{and}\:\mathrm{cells}\:\mathrm{can}\:\mathrm{be}\:\mathrm{connected} \\ $$$$\mathrm{given}\:\mathrm{that}\:{a},{b}\:\mathrm{and}\:{c}\:\mathrm{represent}\:\mathrm{currents}.\:\mathrm{Using}\:\mathrm{kirchoffs}\:\mathrm{laws}, \\ $$$$\left.\mathrm{a}\right)\:\mathrm{find}\:\mathrm{the}\:\mathrm{values}\:\mathrm{of}\:{a},{b}\:\mathrm{and}\:{c}.\:\left[\mathrm{these}\:\mathrm{are}\:\mathrm{not}\:\mathrm{usual}\:\mathrm{symbols}\right] \\ $$$$\left.\mathrm{b}\right)\:\mathrm{Calculate}\:\mathrm{the}\:\mathrm{pd}\:\left(\mathrm{potential}\:\mathrm{difference}\right)\:\mathrm{between}\:\mathrm{A}\:\mathrm{and}\:\mathrm{B}. \\ $$
Answered by ajfour last updated on 16/Mar/20
$$\mathrm{6}−\mathrm{10}{a}+\mathrm{5}{b}=\mathrm{0} \\ $$$$\mathrm{9}−\mathrm{10}{a}+\mathrm{15}{c}=\mathrm{0} \\ $$$${a}+{b}+{c}=\mathrm{0} \\ $$$${Find}\:{a},\:{b},\:{c}. \\ $$$${V}_{{A}} −\mathrm{10}{a}={V}_{{B}} \:\:. \\ $$
Commented by Rio Michael last updated on 16/Mar/20
$$\mathrm{thanks}\:\mathrm{sir} \\ $$