# If a 12V'battery is connected to the arrangement of resistances given below; calculate: (i) the total effective resistance of the arrangement

If a 12V’battery is connected to the arrangement of resistances given below; calculate:
(i) the total effective resistance of the arrangement and,
(ii) the total current flowing in the circuit.

(i) The 5Ω resistors are connected in series.
Therefore, their effective resistance = (5 +5) = 1OΩ
The 10Ω resistors are connected in series.
Therefore, their effective resistance = (10 + 10) = 20Ω Now, these 10Ω equivalent and 20Ω equivalent are connected in parallel. Therefore,
the equivalent resistance (Req) will be (ii)Total current = Total Voltage/Total equivalent resistance
= 12/6.67= 1.8A
{"ft_lang_label":"__label__en","ft_lang_prob":0.9020933,"math_prob":0.99822533,"size":822,"snap":"2020-34-2020-40","text_gpt3_token_len":209,"char_repetition_ratio":0.17237164,"word_repetition_ratio":0.43442622,"special_character_ratio":0.24452555,"punctuation_ratio":0.11888112,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9996958,"pos_list":[0,1,2,3,4,5,6],"im_url_duplicate_count":[null,null,null,1,null,1,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2020-09-24T21:53:00Z\",\"WARC-Record-ID\":\"<urn:uuid:cc7c98f9-2cd0-4724-a39e-7f06916f8d97>\",\"Content-Length\":\"14613\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:283c9106-1615-4f4e-8b1a-3d3407bb7ebb>\",\"WARC-Concurrent-To\":\"<urn:uuid:0a0593c6-278f-4d41-83fa-fc84d9d249a3>\",\"WARC-IP-Address\":\"46.165.252.193\",\"WARC-Target-URI\":\"https://ask.learncbse.in/t/if-a-12vbattery-is-connected-to-the-arrangement-of-resistances-given-below-calculate-i-the-total-effective-resistance-of-the-arrangement/43728\",\"WARC-Payload-Digest\":\"sha1:2XGGIHN33DHEJRFPS25ECASJHLMWRU6B\",\"WARC-Block-Digest\":\"sha1:5LFUA37WFNFTQGD7NZENZK5Q34YTUMUO\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2020/CC-MAIN-2020-40/CC-MAIN-2020-40_segments_1600400220495.39_warc_CC-MAIN-20200924194925-20200924224925-00218.warc.gz\"}"}